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Finding the Third Proportional to 219,306 and 469,748

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Solution

The third proportional to 219,306 and 469,748 is: 1,006,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,306 : 469,748 = 469,748 : x
  2. Step 2: Convert to fraction form
    219,306/469,748 = 469,748/x
  3. Step 3: Cross multiply
    219,306x = 469,748 × 469,748
  4. Step 4: Simplify right side
    219,306x = 220,663,183,504
  5. Step 5: Solve for x
    x = 220,663,183,504/219,306
  6. Step 6: Final answer
    x = 1,006,188.54

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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.