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Finding the Third Proportional to 687,708.98 and 950,219.23

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Solution

The third proportional to 687,708.98 and 950,219.23 is: 1,312,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,708.98 : 950,219.23 = 950,219.23 : x
  2. Step 2: Convert to fraction form
    687,708.98/950,219.23 = 950,219.23/x
  3. Step 3: Cross multiply
    687,708.98x = 950,219.23 × 950,219.23
  4. Step 4: Simplify right side
    687,708.98x = 902,916,578,529.04
  5. Step 5: Solve for x
    x = 902,916,578,529.04/687,708.98
  6. Step 6: Final answer
    x = 1,312,934.10

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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.