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Finding the Third Proportional to 296,228 and 458,816

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Solution

The third proportional to 296,228 and 458,816 is: 710,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,228 : 458,816 = 458,816 : x
  2. Step 2: Convert to fraction form
    296,228/458,816 = 458,816/x
  3. Step 3: Cross multiply
    296,228x = 458,816 × 458,816
  4. Step 4: Simplify right side
    296,228x = 210,512,121,856
  5. Step 5: Solve for x
    x = 210,512,121,856/296,228
  6. Step 6: Final answer
    x = 710,642.21

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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.