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Finding the Third Proportional to 588,599.50 and 1,257,490

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Solution

The third proportional to 588,599.50 and 1,257,490 is: 2,686,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,599.50 : 1,257,490 = 1,257,490 : x
  2. Step 2: Convert to fraction form
    588,599.50/1,257,490 = 1,257,490/x
  3. Step 3: Cross multiply
    588,599.50x = 1,257,490 × 1,257,490
  4. Step 4: Simplify right side
    588,599.50x = 1,581,281,100,100
  5. Step 5: Solve for x
    x = 1,581,281,100,100/588,599.50
  6. Step 6: Final answer
    x = 2,686,514.51

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Why These Related Problems?

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