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Finding the Third Proportional to 457,233 and 679,228.50

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Solution

The third proportional to 457,233 and 679,228.50 is: 1,009,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,233 : 679,228.50 = 679,228.50 : x
  2. Step 2: Convert to fraction form
    457,233/679,228.50 = 679,228.50/x
  3. Step 3: Cross multiply
    457,233x = 679,228.50 × 679,228.50
  4. Step 4: Simplify right side
    457,233x = 461,351,355,212.25
  5. Step 5: Solve for x
    x = 461,351,355,212.25/457,233
  6. Step 6: Final answer
    x = 1,009,007.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.