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Finding the Third Proportional to 480,755.25 and 696,328.88

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Solution

The third proportional to 480,755.25 and 696,328.88 is: 1,008,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,755.25 : 696,328.88 = 696,328.88 : x
  2. Step 2: Convert to fraction form
    480,755.25/696,328.88 = 696,328.88/x
  3. Step 3: Cross multiply
    480,755.25x = 696,328.88 × 696,328.88
  4. Step 4: Simplify right side
    480,755.25x = 484,873,902,158.77
  5. Step 5: Solve for x
    x = 484,873,902,158.77/480,755.25
  6. Step 6: Final answer
    x = 1,008,567.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.