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Finding the Third Proportional to 459,092 and 615,736

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Solution

The third proportional to 459,092 and 615,736 is: 825,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,092 : 615,736 = 615,736 : x
  2. Step 2: Convert to fraction form
    459,092/615,736 = 615,736/x
  3. Step 3: Cross multiply
    459,092x = 615,736 × 615,736
  4. Step 4: Simplify right side
    459,092x = 379,130,821,696
  5. Step 5: Solve for x
    x = 379,130,821,696/459,092
  6. Step 6: Final answer
    x = 825,827.55

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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.