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Finding the Third Proportional to 202,752 and 433,920

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Solution

The third proportional to 202,752 and 433,920 is: 928,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,752 : 433,920 = 433,920 : x
  2. Step 2: Convert to fraction form
    202,752/433,920 = 433,920/x
  3. Step 3: Cross multiply
    202,752x = 433,920 × 433,920
  4. Step 4: Simplify right side
    202,752x = 188,286,566,400
  5. Step 5: Solve for x
    x = 188,286,566,400/202,752
  6. Step 6: Final answer
    x = 928,654.55

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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.