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Finding the Third Proportional to 369,364 and 501,396

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Solution

The third proportional to 369,364 and 501,396 is: 680,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,364 : 501,396 = 501,396 : x
  2. Step 2: Convert to fraction form
    369,364/501,396 = 501,396/x
  3. Step 3: Cross multiply
    369,364x = 501,396 × 501,396
  4. Step 4: Simplify right side
    369,364x = 251,397,948,816
  5. Step 5: Solve for x
    x = 251,397,948,816/369,364
  6. Step 6: Final answer
    x = 680,623.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.