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Finding the Third Proportional to 457,292.50 and 679,306

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Solution

The third proportional to 457,292.50 and 679,306 is: 1,009,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,292.50 : 679,306 = 679,306 : x
  2. Step 2: Convert to fraction form
    457,292.50/679,306 = 679,306/x
  3. Step 3: Cross multiply
    457,292.50x = 679,306 × 679,306
  4. Step 4: Simplify right side
    457,292.50x = 461,456,641,636
  5. Step 5: Solve for x
    x = 461,456,641,636/457,292.50
  6. Step 6: Final answer
    x = 1,009,106.08

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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.