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Finding the Third Proportional to 228,304 and 363,597

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Solution

The third proportional to 228,304 and 363,597 is: 579,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,304 : 363,597 = 363,597 : x
  2. Step 2: Convert to fraction form
    228,304/363,597 = 363,597/x
  3. Step 3: Cross multiply
    228,304x = 363,597 × 363,597
  4. Step 4: Simplify right side
    228,304x = 132,202,778,409
  5. Step 5: Solve for x
    x = 132,202,778,409/228,304
  6. Step 6: Final answer
    x = 579,064.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.