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Finding the Third Proportional to 219,319 and 455,870

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Solution

The third proportional to 219,319 and 455,870 is: 947,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319 : 455,870 = 455,870 : x
  2. Step 2: Convert to fraction form
    219,319/455,870 = 455,870/x
  3. Step 3: Cross multiply
    219,319x = 455,870 × 455,870
  4. Step 4: Simplify right side
    219,319x = 207,817,456,900
  5. Step 5: Solve for x
    x = 207,817,456,900/219,319
  6. Step 6: Final answer
    x = 947,557.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.