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Finding the Third Proportional to 385,157 and 563,473

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Solution

The third proportional to 385,157 and 563,473 is: 824,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,157 : 563,473 = 563,473 : x
  2. Step 2: Convert to fraction form
    385,157/563,473 = 563,473/x
  3. Step 3: Cross multiply
    385,157x = 563,473 × 563,473
  4. Step 4: Simplify right side
    385,157x = 317,501,821,729
  5. Step 5: Solve for x
    x = 317,501,821,729/385,157
  6. Step 6: Final answer
    x = 824,343.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.