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Finding the Third Proportional to 514,759 and 782,633

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Solution

The third proportional to 514,759 and 782,633 is: 1,189,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,759 : 782,633 = 782,633 : x
  2. Step 2: Convert to fraction form
    514,759/782,633 = 782,633/x
  3. Step 3: Cross multiply
    514,759x = 782,633 × 782,633
  4. Step 4: Simplify right side
    514,759x = 612,514,412,689
  5. Step 5: Solve for x
    x = 612,514,412,689/514,759
  6. Step 6: Final answer
    x = 1,189,905.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.