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Finding the Third Proportional to 317,300.25 and 692,479

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Solution

The third proportional to 317,300.25 and 692,479 is: 1,511,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,300.25 : 692,479 = 692,479 : x
  2. Step 2: Convert to fraction form
    317,300.25/692,479 = 692,479/x
  3. Step 3: Cross multiply
    317,300.25x = 692,479 × 692,479
  4. Step 4: Simplify right side
    317,300.25x = 479,527,165,441
  5. Step 5: Solve for x
    x = 479,527,165,441/317,300.25
  6. Step 6: Final answer
    x = 1,511,272.57

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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.