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Finding the Third Proportional to 273,385.13 and 410,076

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Solution

The third proportional to 273,385.13 and 410,076 is: 615,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,385.13 : 410,076 = 410,076 : x
  2. Step 2: Convert to fraction form
    273,385.13/410,076 = 410,076/x
  3. Step 3: Cross multiply
    273,385.13x = 410,076 × 410,076
  4. Step 4: Simplify right side
    273,385.13x = 168,162,325,776
  5. Step 5: Solve for x
    x = 168,162,325,776/273,385.13
  6. Step 6: Final answer
    x = 615,111.47

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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.