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Finding the Third Proportional to 657,487.13 and 983,586.38

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Solution

The third proportional to 657,487.13 and 983,586.38 is: 1,471,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,487.13 : 983,586.38 = 983,586.38 : x
  2. Step 2: Convert to fraction form
    657,487.13/983,586.38 = 983,586.38/x
  3. Step 3: Cross multiply
    657,487.13x = 983,586.38 × 983,586.38
  4. Step 4: Simplify right side
    657,487.13x = 967,442,157,085.64
  5. Step 5: Solve for x
    x = 967,442,157,085.64/657,487.13
  6. Step 6: Final answer
    x = 1,471,423.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.