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Finding the Third Proportional to 244,578 and 535,475

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Solution

The third proportional to 244,578 and 535,475 is: 1,172,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,578 : 535,475 = 535,475 : x
  2. Step 2: Convert to fraction form
    244,578/535,475 = 535,475/x
  3. Step 3: Cross multiply
    244,578x = 535,475 × 535,475
  4. Step 4: Simplify right side
    244,578x = 286,733,475,625
  5. Step 5: Solve for x
    x = 286,733,475,625/244,578
  6. Step 6: Final answer
    x = 1,172,360.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.