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Finding the Third Proportional to 560,626 and 869,735

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Solution

The third proportional to 560,626 and 869,735 is: 1,349,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,626 : 869,735 = 869,735 : x
  2. Step 2: Convert to fraction form
    560,626/869,735 = 869,735/x
  3. Step 3: Cross multiply
    560,626x = 869,735 × 869,735
  4. Step 4: Simplify right side
    560,626x = 756,438,970,225
  5. Step 5: Solve for x
    x = 756,438,970,225/560,626
  6. Step 6: Final answer
    x = 1,349,275.58

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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.