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Finding the Third Proportional to 582,376.50 and 1,256,661

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Solution

The third proportional to 582,376.50 and 1,256,661 is: 2,711,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,376.50 : 1,256,661 = 1,256,661 : x
  2. Step 2: Convert to fraction form
    582,376.50/1,256,661 = 1,256,661/x
  3. Step 3: Cross multiply
    582,376.50x = 1,256,661 × 1,256,661
  4. Step 4: Simplify right side
    582,376.50x = 1,579,196,868,921
  5. Step 5: Solve for x
    x = 1,579,196,868,921/582,376.50
  6. Step 6: Final answer
    x = 2,711,642.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.