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Finding the Third Proportional to 454,693.50 and 632,208.38

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Solution

The third proportional to 454,693.50 and 632,208.38 is: 879,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,693.50 : 632,208.38 = 632,208.38 : x
  2. Step 2: Convert to fraction form
    454,693.50/632,208.38 = 632,208.38/x
  3. Step 3: Cross multiply
    454,693.50x = 632,208.38 × 632,208.38
  4. Step 4: Simplify right side
    454,693.50x = 399,687,429,420.14
  5. Step 5: Solve for x
    x = 399,687,429,420.14/454,693.50
  6. Step 6: Final answer
    x = 879,026.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.