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Finding the Third Proportional to 387,932 and 602,072

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Solution

The third proportional to 387,932 and 602,072 is: 934,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,932 : 602,072 = 602,072 : x
  2. Step 2: Convert to fraction form
    387,932/602,072 = 602,072/x
  3. Step 3: Cross multiply
    387,932x = 602,072 × 602,072
  4. Step 4: Simplify right side
    387,932x = 362,490,693,184
  5. Step 5: Solve for x
    x = 362,490,693,184/387,932
  6. Step 6: Final answer
    x = 934,418.13

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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.