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Finding the Third Proportional to 297,222.50 and 642,924

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Solution

The third proportional to 297,222.50 and 642,924 is: 1,390,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,222.50 : 642,924 = 642,924 : x
  2. Step 2: Convert to fraction form
    297,222.50/642,924 = 642,924/x
  3. Step 3: Cross multiply
    297,222.50x = 642,924 × 642,924
  4. Step 4: Simplify right side
    297,222.50x = 413,351,269,776
  5. Step 5: Solve for x
    x = 413,351,269,776/297,222.50
  6. Step 6: Final answer
    x = 1,390,713.25

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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.