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Finding the Third Proportional to 317,052 and 660,294

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Solution

The third proportional to 317,052 and 660,294 is: 1,375,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,052 : 660,294 = 660,294 : x
  2. Step 2: Convert to fraction form
    317,052/660,294 = 660,294/x
  3. Step 3: Cross multiply
    317,052x = 660,294 × 660,294
  4. Step 4: Simplify right side
    317,052x = 435,988,166,436
  5. Step 5: Solve for x
    x = 435,988,166,436/317,052
  6. Step 6: Final answer
    x = 1,375,131.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.