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Finding the Third Proportional to 532,352.25 and 824,635.69

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Solution

The third proportional to 532,352.25 and 824,635.69 is: 1,277,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,352.25 : 824,635.69 = 824,635.69 : x
  2. Step 2: Convert to fraction form
    532,352.25/824,635.69 = 824,635.69/x
  3. Step 3: Cross multiply
    532,352.25x = 824,635.69 × 824,635.69
  4. Step 4: Simplify right side
    532,352.25x = 680,024,017,098.60
  5. Step 5: Solve for x
    x = 680,024,017,098.60/532,352.25
  6. Step 6: Final answer
    x = 1,277,394.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.