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Finding the Third Proportional to 296,782 and 699,887

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Solution

The third proportional to 296,782 and 699,887 is: 1,650,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,782 : 699,887 = 699,887 : x
  2. Step 2: Convert to fraction form
    296,782/699,887 = 699,887/x
  3. Step 3: Cross multiply
    296,782x = 699,887 × 699,887
  4. Step 4: Simplify right side
    296,782x = 489,841,812,769
  5. Step 5: Solve for x
    x = 489,841,812,769/296,782
  6. Step 6: Final answer
    x = 1,650,510.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.