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Finding the Third Proportional to 303,492,609 and 716,197,291.50

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Solution

The third proportional to 303,492,609 and 716,197,291.50 is: 1,690,118,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,492,609 : 716,197,291.50 = 716,197,291.50 : x
  2. Step 2: Convert to fraction form
    303,492,609/716,197,291.50 = 716,197,291.50/x
  3. Step 3: Cross multiply
    303,492,609x = 716,197,291.50 × 716,197,291.50
  4. Step 4: Simplify right side
    303,492,609x = 512,938,560,351,936,000
  5. Step 5: Solve for x
    x = 512,938,560,351,936,000/303,492,609
  6. Step 6: Final answer
    x = 1,690,118,787.54

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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.