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Finding the Third Proportional to 530,246 and 797,565

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Solution

The third proportional to 530,246 and 797,565 is: 1,199,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,246 : 797,565 = 797,565 : x
  2. Step 2: Convert to fraction form
    530,246/797,565 = 797,565/x
  3. Step 3: Cross multiply
    530,246x = 797,565 × 797,565
  4. Step 4: Simplify right side
    530,246x = 636,109,929,225
  5. Step 5: Solve for x
    x = 636,109,929,225/530,246
  6. Step 6: Final answer
    x = 1,199,650.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.