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Finding the Third Proportional to 386,688 and 597,568

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Solution

The third proportional to 386,688 and 597,568 is: 923,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,688 : 597,568 = 597,568 : x
  2. Step 2: Convert to fraction form
    386,688/597,568 = 597,568/x
  3. Step 3: Cross multiply
    386,688x = 597,568 × 597,568
  4. Step 4: Simplify right side
    386,688x = 357,087,514,624
  5. Step 5: Solve for x
    x = 357,087,514,624/386,688
  6. Step 6: Final answer
    x = 923,451.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.