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Finding the Third Proportional to 224,463.66 and 484,534.41

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Solution

The third proportional to 224,463.66 and 484,534.41 is: 1,045,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,463.66 : 484,534.41 = 484,534.41 : x
  2. Step 2: Convert to fraction form
    224,463.66/484,534.41 = 484,534.41/x
  3. Step 3: Cross multiply
    224,463.66x = 484,534.41 × 484,534.41
  4. Step 4: Simplify right side
    224,463.66x = 234,773,590,840.04
  5. Step 5: Solve for x
    x = 234,773,590,840.04/224,463.66
  6. Step 6: Final answer
    x = 1,045,931.42

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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.