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Finding the Third Proportional to 480,826.50 and 761,376.75

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Solution

The third proportional to 480,826.50 and 761,376.75 is: 1,205,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,826.50 : 761,376.75 = 761,376.75 : x
  2. Step 2: Convert to fraction form
    480,826.50/761,376.75 = 761,376.75/x
  3. Step 3: Cross multiply
    480,826.50x = 761,376.75 × 761,376.75
  4. Step 4: Simplify right side
    480,826.50x = 579,694,555,440.56
  5. Step 5: Solve for x
    x = 579,694,555,440.56/480,826.50
  6. Step 6: Final answer
    x = 1,205,621.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.