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Finding the Third Proportional to 223,694 and 473,298

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Solution

The third proportional to 223,694 and 473,298 is: 1,001,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,694 : 473,298 = 473,298 : x
  2. Step 2: Convert to fraction form
    223,694/473,298 = 473,298/x
  3. Step 3: Cross multiply
    223,694x = 473,298 × 473,298
  4. Step 4: Simplify right side
    223,694x = 224,010,996,804
  5. Step 5: Solve for x
    x = 224,010,996,804/223,694
  6. Step 6: Final answer
    x = 1,001,417.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.