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Finding the Third Proportional to 459,085 and 615,727.50

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Solution

The third proportional to 459,085 and 615,727.50 is: 825,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,085 : 615,727.50 = 615,727.50 : x
  2. Step 2: Convert to fraction form
    459,085/615,727.50 = 615,727.50/x
  3. Step 3: Cross multiply
    459,085x = 615,727.50 × 615,727.50
  4. Step 4: Simplify right side
    459,085x = 379,120,354,256.25
  5. Step 5: Solve for x
    x = 379,120,354,256.25/459,085
  6. Step 6: Final answer
    x = 825,817.34

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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.