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Finding the Third Proportional to 385,860 and 597,402

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Solution

The third proportional to 385,860 and 597,402 is: 924,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,860 : 597,402 = 597,402 : x
  2. Step 2: Convert to fraction form
    385,860/597,402 = 597,402/x
  3. Step 3: Cross multiply
    385,860x = 597,402 × 597,402
  4. Step 4: Simplify right side
    385,860x = 356,889,149,604
  5. Step 5: Solve for x
    x = 356,889,149,604/385,860
  6. Step 6: Final answer
    x = 924,918.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.