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Finding the Third Proportional to 673.95 and 1,031.17

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Solution

The third proportional to 673.95 and 1,031.17 is: 1,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.95 : 1,031.17 = 1,031.17 : x
  2. Step 2: Convert to fraction form
    673.95/1,031.17 = 1,031.17/x
  3. Step 3: Cross multiply
    673.95x = 1,031.17 × 1,031.17
  4. Step 4: Simplify right side
    673.95x = 1,063,307.38
  5. Step 5: Solve for x
    x = 1,063,307.38/673.95
  6. Step 6: Final answer
    x = 1,577.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.