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Finding the Third Proportional to 782,419.50 and 950,341.50

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Solution

The third proportional to 782,419.50 and 950,341.50 is: 1,154,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,419.50 : 950,341.50 = 950,341.50 : x
  2. Step 2: Convert to fraction form
    782,419.50/950,341.50 = 950,341.50/x
  3. Step 3: Cross multiply
    782,419.50x = 950,341.50 × 950,341.50
  4. Step 4: Simplify right side
    782,419.50x = 903,148,966,622.25
  5. Step 5: Solve for x
    x = 903,148,966,622.25/782,419.50
  6. Step 6: Final answer
    x = 1,154,302.73

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.