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Finding the Third Proportional to 439,702.50 and 656,966

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Solution

The third proportional to 439,702.50 and 656,966 is: 981,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,702.50 : 656,966 = 656,966 : x
  2. Step 2: Convert to fraction form
    439,702.50/656,966 = 656,966/x
  3. Step 3: Cross multiply
    439,702.50x = 656,966 × 656,966
  4. Step 4: Simplify right side
    439,702.50x = 431,604,325,156
  5. Step 5: Solve for x
    x = 431,604,325,156/439,702.50
  6. Step 6: Final answer
    x = 981,582.60

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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.