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Finding the Third Proportional to 387,034 and 597,808

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Solution

The third proportional to 387,034 and 597,808 is: 923,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,034 : 597,808 = 597,808 : x
  2. Step 2: Convert to fraction form
    387,034/597,808 = 597,808/x
  3. Step 3: Cross multiply
    387,034x = 597,808 × 597,808
  4. Step 4: Simplify right side
    387,034x = 357,374,404,864
  5. Step 5: Solve for x
    x = 357,374,404,864/387,034
  6. Step 6: Final answer
    x = 923,366.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.