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Finding the Third Proportional to 387,036 and 598,032

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Solution

The third proportional to 387,036 and 598,032 is: 924,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,036 : 598,032 = 598,032 : x
  2. Step 2: Convert to fraction form
    387,036/598,032 = 598,032/x
  3. Step 3: Cross multiply
    387,036x = 598,032 × 598,032
  4. Step 4: Simplify right side
    387,036x = 357,642,273,024
  5. Step 5: Solve for x
    x = 357,642,273,024/387,036
  6. Step 6: Final answer
    x = 924,054.28

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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.