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Finding the Third Proportional to 451,575.84 and 615,079.69

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Solution

The third proportional to 451,575.84 and 615,079.69 is: 837,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,575.84 : 615,079.69 = 615,079.69 : x
  2. Step 2: Convert to fraction form
    451,575.84/615,079.69 = 615,079.69/x
  3. Step 3: Cross multiply
    451,575.84x = 615,079.69 × 615,079.69
  4. Step 4: Simplify right side
    451,575.84x = 378,323,021,975.10
  5. Step 5: Solve for x
    x = 378,323,021,975.10/451,575.84
  6. Step 6: Final answer
    x = 837,784.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.