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Finding the Third Proportional to 457,239 and 679,237.50

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Solution

The third proportional to 457,239 and 679,237.50 is: 1,009,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,239 : 679,237.50 = 679,237.50 : x
  2. Step 2: Convert to fraction form
    457,239/679,237.50 = 679,237.50/x
  3. Step 3: Cross multiply
    457,239x = 679,237.50 × 679,237.50
  4. Step 4: Simplify right side
    457,239x = 461,363,581,406.25
  5. Step 5: Solve for x
    x = 461,363,581,406.25/457,239
  6. Step 6: Final answer
    x = 1,009,020.62

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