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Finding the Third Proportional to 223,466 and 458,776

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Solution

The third proportional to 223,466 and 458,776 is: 941,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,466 : 458,776 = 458,776 : x
  2. Step 2: Convert to fraction form
    223,466/458,776 = 458,776/x
  3. Step 3: Cross multiply
    223,466x = 458,776 × 458,776
  4. Step 4: Simplify right side
    223,466x = 210,475,418,176
  5. Step 5: Solve for x
    x = 210,475,418,176/223,466
  6. Step 6: Final answer
    x = 941,867.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.