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Finding the Third Proportional to 296,552.25 and 459,575.44

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Solution

The third proportional to 296,552.25 and 459,575.44 is: 712,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,552.25 : 459,575.44 = 459,575.44 : x
  2. Step 2: Convert to fraction form
    296,552.25/459,575.44 = 459,575.44/x
  3. Step 3: Cross multiply
    296,552.25x = 459,575.44 × 459,575.44
  4. Step 4: Simplify right side
    296,552.25x = 211,209,582,753.32
  5. Step 5: Solve for x
    x = 211,209,582,753.32/296,552.25
  6. Step 6: Final answer
    x = 712,217.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.