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Finding the Third Proportional to 387,017 and 597,771

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Solution

The third proportional to 387,017 and 597,771 is: 923,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,017 : 597,771 = 597,771 : x
  2. Step 2: Convert to fraction form
    387,017/597,771 = 597,771/x
  3. Step 3: Cross multiply
    387,017x = 597,771 × 597,771
  4. Step 4: Simplify right side
    387,017x = 357,330,168,441
  5. Step 5: Solve for x
    x = 357,330,168,441/387,017
  6. Step 6: Final answer
    x = 923,293.21

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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.