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Finding the Third Proportional to 614,218.50 and 1,329,045

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Solution

The third proportional to 614,218.50 and 1,329,045 is: 2,875,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,218.50 : 1,329,045 = 1,329,045 : x
  2. Step 2: Convert to fraction form
    614,218.50/1,329,045 = 1,329,045/x
  3. Step 3: Cross multiply
    614,218.50x = 1,329,045 × 1,329,045
  4. Step 4: Simplify right side
    614,218.50x = 1,766,360,612,025
  5. Step 5: Solve for x
    x = 1,766,360,612,025/614,218.50
  6. Step 6: Final answer
    x = 2,875,785.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.