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Finding the Third Proportional to 223,416 and 462,384

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Solution

The third proportional to 223,416 and 462,384 is: 956,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,416 : 462,384 = 462,384 : x
  2. Step 2: Convert to fraction form
    223,416/462,384 = 462,384/x
  3. Step 3: Cross multiply
    223,416x = 462,384 × 462,384
  4. Step 4: Simplify right side
    223,416x = 213,798,963,456
  5. Step 5: Solve for x
    x = 213,798,963,456/223,416
  6. Step 6: Final answer
    x = 956,954.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.