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Finding the Third Proportional to 387,044 and 598,044

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Solution

The third proportional to 387,044 and 598,044 is: 924,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,044 : 598,044 = 598,044 : x
  2. Step 2: Convert to fraction form
    387,044/598,044 = 598,044/x
  3. Step 3: Cross multiply
    387,044x = 598,044 × 598,044
  4. Step 4: Simplify right side
    387,044x = 357,656,625,936
  5. Step 5: Solve for x
    x = 357,656,625,936/387,044
  6. Step 6: Final answer
    x = 924,072.27

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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.