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Finding the Third Proportional to 369,360 and 501,390

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Solution

The third proportional to 369,360 and 501,390 is: 680,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,360 : 501,390 = 501,390 : x
  2. Step 2: Convert to fraction form
    369,360/501,390 = 501,390/x
  3. Step 3: Cross multiply
    369,360x = 501,390 × 501,390
  4. Step 4: Simplify right side
    369,360x = 251,391,932,100
  5. Step 5: Solve for x
    x = 251,391,932,100/369,360
  6. Step 6: Final answer
    x = 680,614.93

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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.