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Finding the Third Proportional to 223,473 and 488,727

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Solution

The third proportional to 223,473 and 488,727 is: 1,068,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,473 : 488,727 = 488,727 : x
  2. Step 2: Convert to fraction form
    223,473/488,727 = 488,727/x
  3. Step 3: Cross multiply
    223,473x = 488,727 × 488,727
  4. Step 4: Simplify right side
    223,473x = 238,854,080,529
  5. Step 5: Solve for x
    x = 238,854,080,529/223,473
  6. Step 6: Final answer
    x = 1,068,827.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.