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Finding the Third Proportional to 410,080 and 615,117

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Solution

The third proportional to 410,080 and 615,117 is: 922,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,080 : 615,117 = 615,117 : x
  2. Step 2: Convert to fraction form
    410,080/615,117 = 615,117/x
  3. Step 3: Cross multiply
    410,080x = 615,117 × 615,117
  4. Step 4: Simplify right side
    410,080x = 378,368,923,689
  5. Step 5: Solve for x
    x = 378,368,923,689/410,080
  6. Step 6: Final answer
    x = 922,671.00

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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.