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Finding the Third Proportional to 364,234 and 551,429

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Solution

The third proportional to 364,234 and 551,429 is: 834,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,234 : 551,429 = 551,429 : x
  2. Step 2: Convert to fraction form
    364,234/551,429 = 551,429/x
  3. Step 3: Cross multiply
    364,234x = 551,429 × 551,429
  4. Step 4: Simplify right side
    364,234x = 304,073,942,041
  5. Step 5: Solve for x
    x = 304,073,942,041/364,234
  6. Step 6: Final answer
    x = 834,831.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.