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Finding the Third Proportional to 435,913.50 and 588,772.50

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Solution

The third proportional to 435,913.50 and 588,772.50 is: 795,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,913.50 : 588,772.50 = 588,772.50 : x
  2. Step 2: Convert to fraction form
    435,913.50/588,772.50 = 588,772.50/x
  3. Step 3: Cross multiply
    435,913.50x = 588,772.50 × 588,772.50
  4. Step 4: Simplify right side
    435,913.50x = 346,653,056,756.25
  5. Step 5: Solve for x
    x = 346,653,056,756.25/435,913.50
  6. Step 6: Final answer
    x = 795,233.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.