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Finding the Third Proportional to 560,584 and 870,400

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Solution

The third proportional to 560,584 and 870,400 is: 1,351,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,584 : 870,400 = 870,400 : x
  2. Step 2: Convert to fraction form
    560,584/870,400 = 870,400/x
  3. Step 3: Cross multiply
    560,584x = 870,400 × 870,400
  4. Step 4: Simplify right side
    560,584x = 757,596,160,000
  5. Step 5: Solve for x
    x = 757,596,160,000/560,584
  6. Step 6: Final answer
    x = 1,351,440.93

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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.