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Finding the Third Proportional to 303,492,595.50 and 716,197,254.75

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Solution

The third proportional to 303,492,595.50 and 716,197,254.75 is: 1,690,118,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,492,595.50 : 716,197,254.75 = 716,197,254.75 : x
  2. Step 2: Convert to fraction form
    303,492,595.50/716,197,254.75 = 716,197,254.75/x
  3. Step 3: Cross multiply
    303,492,595.50x = 716,197,254.75 × 716,197,254.75
  4. Step 4: Simplify right side
    303,492,595.50x = 512,938,507,711,436,416
  5. Step 5: Solve for x
    x = 512,938,507,711,436,416/303,492,595.50
  6. Step 6: Final answer
    x = 1,690,118,689.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.