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Finding the Third Proportional to 530,244 and 797,562

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Solution

The third proportional to 530,244 and 797,562 is: 1,199,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,244 : 797,562 = 797,562 : x
  2. Step 2: Convert to fraction form
    530,244/797,562 = 797,562/x
  3. Step 3: Cross multiply
    530,244x = 797,562 × 797,562
  4. Step 4: Simplify right side
    530,244x = 636,105,143,844
  5. Step 5: Solve for x
    x = 636,105,143,844/530,244
  6. Step 6: Final answer
    x = 1,199,646.09

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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.