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Finding the Third Proportional to 480,806.50 and 761,344.75

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Solution

The third proportional to 480,806.50 and 761,344.75 is: 1,205,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,806.50 : 761,344.75 = 761,344.75 : x
  2. Step 2: Convert to fraction form
    480,806.50/761,344.75 = 761,344.75/x
  3. Step 3: Cross multiply
    480,806.50x = 761,344.75 × 761,344.75
  4. Step 4: Simplify right side
    480,806.50x = 579,645,828,352.56
  5. Step 5: Solve for x
    x = 579,645,828,352.56/480,806.50
  6. Step 6: Final answer
    x = 1,205,569.87

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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.