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Finding the Third Proportional to 219,294 and 455,827

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Solution

The third proportional to 219,294 and 455,827 is: 947,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,294 : 455,827 = 455,827 : x
  2. Step 2: Convert to fraction form
    219,294/455,827 = 455,827/x
  3. Step 3: Cross multiply
    219,294x = 455,827 × 455,827
  4. Step 4: Simplify right side
    219,294x = 207,778,253,929
  5. Step 5: Solve for x
    x = 207,778,253,929/219,294
  6. Step 6: Final answer
    x = 947,487.18

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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.