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Finding the Third Proportional to 656,068 and 980,685

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Solution

The third proportional to 656,068 and 980,685 is: 1,465,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,068 : 980,685 = 980,685 : x
  2. Step 2: Convert to fraction form
    656,068/980,685 = 980,685/x
  3. Step 3: Cross multiply
    656,068x = 980,685 × 980,685
  4. Step 4: Simplify right side
    656,068x = 961,743,069,225
  5. Step 5: Solve for x
    x = 961,743,069,225/656,068
  6. Step 6: Final answer
    x = 1,465,919.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.