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Finding the Third Proportional to 295,854 and 632,713.50

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Solution

The third proportional to 295,854 and 632,713.50 is: 1,353,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,854 : 632,713.50 = 632,713.50 : x
  2. Step 2: Convert to fraction form
    295,854/632,713.50 = 632,713.50/x
  3. Step 3: Cross multiply
    295,854x = 632,713.50 × 632,713.50
  4. Step 4: Simplify right side
    295,854x = 400,326,373,082.25
  5. Step 5: Solve for x
    x = 400,326,373,082.25/295,854
  6. Step 6: Final answer
    x = 1,353,121.38

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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.