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Finding the Third Proportional to 295,329 and 442,897.50

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Solution

The third proportional to 295,329 and 442,897.50 is: 664,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,329 : 442,897.50 = 442,897.50 : x
  2. Step 2: Convert to fraction form
    295,329/442,897.50 = 442,897.50/x
  3. Step 3: Cross multiply
    295,329x = 442,897.50 × 442,897.50
  4. Step 4: Simplify right side
    295,329x = 196,158,195,506.25
  5. Step 5: Solve for x
    x = 196,158,195,506.25/295,329
  6. Step 6: Final answer
    x = 664,202.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.