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Finding the Third Proportional to 560,151 and 840,636

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Solution

The third proportional to 560,151 and 840,636 is: 1,261,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,151 : 840,636 = 840,636 : x
  2. Step 2: Convert to fraction form
    560,151/840,636 = 840,636/x
  3. Step 3: Cross multiply
    560,151x = 840,636 × 840,636
  4. Step 4: Simplify right side
    560,151x = 706,668,884,496
  5. Step 5: Solve for x
    x = 706,668,884,496/560,151
  6. Step 6: Final answer
    x = 1,261,568.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.