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Finding the Third Proportional to 387,038 and 597,814

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Solution

The third proportional to 387,038 and 597,814 is: 923,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,038 : 597,814 = 597,814 : x
  2. Step 2: Convert to fraction form
    387,038/597,814 = 597,814/x
  3. Step 3: Cross multiply
    387,038x = 597,814 × 597,814
  4. Step 4: Simplify right side
    387,038x = 357,381,578,596
  5. Step 5: Solve for x
    x = 357,381,578,596/387,038
  6. Step 6: Final answer
    x = 923,375.94

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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.