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Finding the Third Proportional to 738.98 and 1,113.89

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Solution

The third proportional to 738.98 and 1,113.89 is: 1,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.98 : 1,113.89 = 1,113.89 : x
  2. Step 2: Convert to fraction form
    738.98/1,113.89 = 1,113.89/x
  3. Step 3: Cross multiply
    738.98x = 1,113.89 × 1,113.89
  4. Step 4: Simplify right side
    738.98x = 1,240,752.32
  5. Step 5: Solve for x
    x = 1,240,752.32/738.98
  6. Step 6: Final answer
    x = 1,679.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.