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Finding the Third Proportional to 369,759 and 528,393

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Solution

The third proportional to 369,759 and 528,393 is: 755,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,759 : 528,393 = 528,393 : x
  2. Step 2: Convert to fraction form
    369,759/528,393 = 528,393/x
  3. Step 3: Cross multiply
    369,759x = 528,393 × 528,393
  4. Step 4: Simplify right side
    369,759x = 279,199,162,449
  5. Step 5: Solve for x
    x = 279,199,162,449/369,759
  6. Step 6: Final answer
    x = 755,084.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.