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Finding the Third Proportional to 591,357 and 926,597

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Solution

The third proportional to 591,357 and 926,597 is: 1,451,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,357 : 926,597 = 926,597 : x
  2. Step 2: Convert to fraction form
    591,357/926,597 = 926,597/x
  3. Step 3: Cross multiply
    591,357x = 926,597 × 926,597
  4. Step 4: Simplify right side
    591,357x = 858,582,000,409
  5. Step 5: Solve for x
    x = 858,582,000,409/591,357
  6. Step 6: Final answer
    x = 1,451,884.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.