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Finding the Third Proportional to 364,634 and 551,981

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Solution

The third proportional to 364,634 and 551,981 is: 835,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,634 : 551,981 = 551,981 : x
  2. Step 2: Convert to fraction form
    364,634/551,981 = 551,981/x
  3. Step 3: Cross multiply
    364,634x = 551,981 × 551,981
  4. Step 4: Simplify right side
    364,634x = 304,683,024,361
  5. Step 5: Solve for x
    x = 304,683,024,361/364,634
  6. Step 6: Final answer
    x = 835,585.89

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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.