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Finding the Third Proportional to 224,788 and 484,424

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Solution

The third proportional to 224,788 and 484,424 is: 1,043,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,788 : 484,424 = 484,424 : x
  2. Step 2: Convert to fraction form
    224,788/484,424 = 484,424/x
  3. Step 3: Cross multiply
    224,788x = 484,424 × 484,424
  4. Step 4: Simplify right side
    224,788x = 234,666,611,776
  5. Step 5: Solve for x
    x = 234,666,611,776/224,788
  6. Step 6: Final answer
    x = 1,043,946.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.