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Finding the Third Proportional to 387,927 and 602,063

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Solution

The third proportional to 387,927 and 602,063 is: 934,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,927 : 602,063 = 602,063 : x
  2. Step 2: Convert to fraction form
    387,927/602,063 = 602,063/x
  3. Step 3: Cross multiply
    387,927x = 602,063 × 602,063
  4. Step 4: Simplify right side
    387,927x = 362,479,855,969
  5. Step 5: Solve for x
    x = 362,479,855,969/387,927
  6. Step 6: Final answer
    x = 934,402.24

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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.