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Finding the Third Proportional to 317,331 and 692,532

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Solution

The third proportional to 317,331 and 692,532 is: 1,511,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,331 : 692,532 = 692,532 : x
  2. Step 2: Convert to fraction form
    317,331/692,532 = 692,532/x
  3. Step 3: Cross multiply
    317,331x = 692,532 × 692,532
  4. Step 4: Simplify right side
    317,331x = 479,600,571,024
  5. Step 5: Solve for x
    x = 479,600,571,024/317,331
  6. Step 6: Final answer
    x = 1,511,357.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.