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Finding the Third Proportional to 387,926 and 602,061

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Solution

The third proportional to 387,926 and 602,061 is: 934,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,926 : 602,061 = 602,061 : x
  2. Step 2: Convert to fraction form
    387,926/602,061 = 602,061/x
  3. Step 3: Cross multiply
    387,926x = 602,061 × 602,061
  4. Step 4: Simplify right side
    387,926x = 362,477,447,721
  5. Step 5: Solve for x
    x = 362,477,447,721/387,926
  6. Step 6: Final answer
    x = 934,398.44

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