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Finding the Third Proportional to 224,490 and 487,123.50

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Solution

The third proportional to 224,490 and 487,123.50 is: 1,057,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,490 : 487,123.50 = 487,123.50 : x
  2. Step 2: Convert to fraction form
    224,490/487,123.50 = 487,123.50/x
  3. Step 3: Cross multiply
    224,490x = 487,123.50 × 487,123.50
  4. Step 4: Simplify right side
    224,490x = 237,289,304,252.25
  5. Step 5: Solve for x
    x = 237,289,304,252.25/224,490
  6. Step 6: Final answer
    x = 1,057,015.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.