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Finding the Third Proportional to 387,000 and 597,756

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Solution

The third proportional to 387,000 and 597,756 is: 923,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,000 : 597,756 = 597,756 : x
  2. Step 2: Convert to fraction form
    387,000/597,756 = 597,756/x
  3. Step 3: Cross multiply
    387,000x = 597,756 × 597,756
  4. Step 4: Simplify right side
    387,000x = 357,312,235,536
  5. Step 5: Solve for x
    x = 357,312,235,536/387,000
  6. Step 6: Final answer
    x = 923,287.43

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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.