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Finding the Third Proportional to 588,598.50 and 1,257,488

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Solution

The third proportional to 588,598.50 and 1,257,488 is: 2,686,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,598.50 : 1,257,488 = 1,257,488 : x
  2. Step 2: Convert to fraction form
    588,598.50/1,257,488 = 1,257,488/x
  3. Step 3: Cross multiply
    588,598.50x = 1,257,488 × 1,257,488
  4. Step 4: Simplify right side
    588,598.50x = 1,581,276,070,144
  5. Step 5: Solve for x
    x = 1,581,276,070,144/588,598.50
  6. Step 6: Final answer
    x = 2,686,510.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.