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Finding the Third Proportional to 295,329 and 454,495.50

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Solution

The third proportional to 295,329 and 454,495.50 is: 699,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,329 : 454,495.50 = 454,495.50 : x
  2. Step 2: Convert to fraction form
    295,329/454,495.50 = 454,495.50/x
  3. Step 3: Cross multiply
    295,329x = 454,495.50 × 454,495.50
  4. Step 4: Simplify right side
    295,329x = 206,566,159,520.25
  5. Step 5: Solve for x
    x = 206,566,159,520.25/295,329
  6. Step 6: Final answer
    x = 699,444.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.