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Finding the Third Proportional to 296,253 and 656,565.75

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Solution

The third proportional to 296,253 and 656,565.75 is: 1,455,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,253 : 656,565.75 = 656,565.75 : x
  2. Step 2: Convert to fraction form
    296,253/656,565.75 = 656,565.75/x
  3. Step 3: Cross multiply
    296,253x = 656,565.75 × 656,565.75
  4. Step 4: Simplify right side
    296,253x = 431,078,584,073.06
  5. Step 5: Solve for x
    x = 431,078,584,073.06/296,253
  6. Step 6: Final answer
    x = 1,455,102.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.