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Finding the Third Proportional to 560,160 and 840,649

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Solution

The third proportional to 560,160 and 840,649 is: 1,261,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,160 : 840,649 = 840,649 : x
  2. Step 2: Convert to fraction form
    560,160/840,649 = 840,649/x
  3. Step 3: Cross multiply
    560,160x = 840,649 × 840,649
  4. Step 4: Simplify right side
    560,160x = 706,690,741,201
  5. Step 5: Solve for x
    x = 706,690,741,201/560,160
  6. Step 6: Final answer
    x = 1,261,587.30

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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.