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Finding the Third Proportional to 462,949.50 and 947,350.13

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Solution

The third proportional to 462,949.50 and 947,350.13 is: 1,938,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,949.50 : 947,350.13 = 947,350.13 : x
  2. Step 2: Convert to fraction form
    462,949.50/947,350.13 = 947,350.13/x
  3. Step 3: Cross multiply
    462,949.50x = 947,350.13 × 947,350.13
  4. Step 4: Simplify right side
    462,949.50x = 897,472,259,337.52
  5. Step 5: Solve for x
    x = 897,472,259,337.52/462,949.50
  6. Step 6: Final answer
    x = 1,938,596.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.