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Finding the Third Proportional to 223,442 and 478,870

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Solution

The third proportional to 223,442 and 478,870 is: 1,026,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,442 : 478,870 = 478,870 : x
  2. Step 2: Convert to fraction form
    223,442/478,870 = 478,870/x
  3. Step 3: Cross multiply
    223,442x = 478,870 × 478,870
  4. Step 4: Simplify right side
    223,442x = 229,316,476,900
  5. Step 5: Solve for x
    x = 229,316,476,900/223,442
  6. Step 6: Final answer
    x = 1,026,290.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.