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Finding the Third Proportional to 202,480 and 439,928

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Solution

The third proportional to 202,480 and 439,928 is: 955,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,480 : 439,928 = 439,928 : x
  2. Step 2: Convert to fraction form
    202,480/439,928 = 439,928/x
  3. Step 3: Cross multiply
    202,480x = 439,928 × 439,928
  4. Step 4: Simplify right side
    202,480x = 193,536,645,184
  5. Step 5: Solve for x
    x = 193,536,645,184/202,480
  6. Step 6: Final answer
    x = 955,830.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.