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Finding the Third Proportional to 582,418 and 1,245,797.50

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Solution

The third proportional to 582,418 and 1,245,797.50 is: 2,664,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,418 : 1,245,797.50 = 1,245,797.50 : x
  2. Step 2: Convert to fraction form
    582,418/1,245,797.50 = 1,245,797.50/x
  3. Step 3: Cross multiply
    582,418x = 1,245,797.50 × 1,245,797.50
  4. Step 4: Simplify right side
    582,418x = 1,552,011,411,006.25
  5. Step 5: Solve for x
    x = 1,552,011,411,006.25/582,418
  6. Step 6: Final answer
    x = 2,664,772.40

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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.