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Finding the Third Proportional to 440,829 and 654,763.50

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Solution

The third proportional to 440,829 and 654,763.50 is: 972,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,829 : 654,763.50 = 654,763.50 : x
  2. Step 2: Convert to fraction form
    440,829/654,763.50 = 654,763.50/x
  3. Step 3: Cross multiply
    440,829x = 654,763.50 × 654,763.50
  4. Step 4: Simplify right side
    440,829x = 428,715,240,932.25
  5. Step 5: Solve for x
    x = 428,715,240,932.25/440,829
  6. Step 6: Final answer
    x = 972,520.50

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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.