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Finding the Third Proportional to 561,117 and 870,624

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Solution

The third proportional to 561,117 and 870,624 is: 1,350,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,117 : 870,624 = 870,624 : x
  2. Step 2: Convert to fraction form
    561,117/870,624 = 870,624/x
  3. Step 3: Cross multiply
    561,117x = 870,624 × 870,624
  4. Step 4: Simplify right side
    561,117x = 757,986,149,376
  5. Step 5: Solve for x
    x = 757,986,149,376/561,117
  6. Step 6: Final answer
    x = 1,350,852.23

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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.