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Finding the Third Proportional to 295,387.50 and 632,805

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Solution

The third proportional to 295,387.50 and 632,805 is: 1,355,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,387.50 : 632,805 = 632,805 : x
  2. Step 2: Convert to fraction form
    295,387.50/632,805 = 632,805/x
  3. Step 3: Cross multiply
    295,387.50x = 632,805 × 632,805
  4. Step 4: Simplify right side
    295,387.50x = 400,442,168,025
  5. Step 5: Solve for x
    x = 400,442,168,025/295,387.50
  6. Step 6: Final answer
    x = 1,355,650.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.