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Finding the Third Proportional to 466,825.50 and 660,602.25

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Solution

The third proportional to 466,825.50 and 660,602.25 is: 934,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,825.50 : 660,602.25 = 660,602.25 : x
  2. Step 2: Convert to fraction form
    466,825.50/660,602.25 = 660,602.25/x
  3. Step 3: Cross multiply
    466,825.50x = 660,602.25 × 660,602.25
  4. Step 4: Simplify right side
    466,825.50x = 436,395,332,705.06
  5. Step 5: Solve for x
    x = 436,395,332,705.06/466,825.50
  6. Step 6: Final answer
    x = 934,814.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.