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Finding the Third Proportional to 224,550 and 491,364

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Solution

The third proportional to 224,550 and 491,364 is: 1,075,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,550 : 491,364 = 491,364 : x
  2. Step 2: Convert to fraction form
    224,550/491,364 = 491,364/x
  3. Step 3: Cross multiply
    224,550x = 491,364 × 491,364
  4. Step 4: Simplify right side
    224,550x = 241,438,580,496
  5. Step 5: Solve for x
    x = 241,438,580,496/224,550
  6. Step 6: Final answer
    x = 1,075,210.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.