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Finding the Third Proportional to 387,024 and 597,780

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Solution

The third proportional to 387,024 and 597,780 is: 923,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,024 : 597,780 = 597,780 : x
  2. Step 2: Convert to fraction form
    387,024/597,780 = 597,780/x
  3. Step 3: Cross multiply
    387,024x = 597,780 × 597,780
  4. Step 4: Simplify right side
    387,024x = 357,340,928,400
  5. Step 5: Solve for x
    x = 357,340,928,400/387,024
  6. Step 6: Final answer
    x = 923,304.31

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Why These Related Problems?

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