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Finding the Third Proportional to 518,335.50 and 773,505.50

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Solution

The third proportional to 518,335.50 and 773,505.50 is: 1,154,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,335.50 : 773,505.50 = 773,505.50 : x
  2. Step 2: Convert to fraction form
    518,335.50/773,505.50 = 773,505.50/x
  3. Step 3: Cross multiply
    518,335.50x = 773,505.50 × 773,505.50
  4. Step 4: Simplify right side
    518,335.50x = 598,310,758,530.25
  5. Step 5: Solve for x
    x = 598,310,758,530.25/518,335.50
  6. Step 6: Final answer
    x = 1,154,292.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.