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Finding the Third Proportional to 318,043.97 and 692,182.13

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Solution

The third proportional to 318,043.97 and 692,182.13 is: 1,506,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,043.97 : 692,182.13 = 692,182.13 : x
  2. Step 2: Convert to fraction form
    318,043.97/692,182.13 = 692,182.13/x
  3. Step 3: Cross multiply
    318,043.97x = 692,182.13 × 692,182.13
  4. Step 4: Simplify right side
    318,043.97x = 479,116,094,169.52
  5. Step 5: Solve for x
    x = 479,116,094,169.52/318,043.97
  6. Step 6: Final answer
    x = 1,506,446.09

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