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Finding the Third Proportional to 687,711 and 950,222

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Solution

The third proportional to 687,711 and 950,222 is: 1,312,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,711 : 950,222 = 950,222 : x
  2. Step 2: Convert to fraction form
    687,711/950,222 = 950,222/x
  3. Step 3: Cross multiply
    687,711x = 950,222 × 950,222
  4. Step 4: Simplify right side
    687,711x = 902,921,849,284
  5. Step 5: Solve for x
    x = 902,921,849,284/687,711
  6. Step 6: Final answer
    x = 1,312,937.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.