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Finding the Third Proportional to 560,220 and 847,000

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Solution

The third proportional to 560,220 and 847,000 is: 1,280,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,220 : 847,000 = 847,000 : x
  2. Step 2: Convert to fraction form
    560,220/847,000 = 847,000/x
  3. Step 3: Cross multiply
    560,220x = 847,000 × 847,000
  4. Step 4: Simplify right side
    560,220x = 717,409,000,000
  5. Step 5: Solve for x
    x = 717,409,000,000/560,220
  6. Step 6: Final answer
    x = 1,280,584.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.