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Finding the Third Proportional to 410,719.50 and 614,398.50

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Solution

The third proportional to 410,719.50 and 614,398.50 is: 919,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,719.50 : 614,398.50 = 614,398.50 : x
  2. Step 2: Convert to fraction form
    410,719.50/614,398.50 = 614,398.50/x
  3. Step 3: Cross multiply
    410,719.50x = 614,398.50 × 614,398.50
  4. Step 4: Simplify right side
    410,719.50x = 377,485,516,802.25
  5. Step 5: Solve for x
    x = 377,485,516,802.25/410,719.50
  6. Step 6: Final answer
    x = 919,083.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.