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Finding the Third Proportional to 502,530 and 767,565

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Solution

The third proportional to 502,530 and 767,565 is: 1,172,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,530 : 767,565 = 767,565 : x
  2. Step 2: Convert to fraction form
    502,530/767,565 = 767,565/x
  3. Step 3: Cross multiply
    502,530x = 767,565 × 767,565
  4. Step 4: Simplify right side
    502,530x = 589,156,029,225
  5. Step 5: Solve for x
    x = 589,156,029,225/502,530
  6. Step 6: Final answer
    x = 1,172,379.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.