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Finding the Third Proportional to 459,092 and 615,738

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Solution

The third proportional to 459,092 and 615,738 is: 825,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,092 : 615,738 = 615,738 : x
  2. Step 2: Convert to fraction form
    459,092/615,738 = 615,738/x
  3. Step 3: Cross multiply
    459,092x = 615,738 × 615,738
  4. Step 4: Simplify right side
    459,092x = 379,133,284,644
  5. Step 5: Solve for x
    x = 379,133,284,644/459,092
  6. Step 6: Final answer
    x = 825,832.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.