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Finding the Third Proportional to 289,524 and 645,468

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Solution

The third proportional to 289,524 and 645,468 is: 1,439,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,524 : 645,468 = 645,468 : x
  2. Step 2: Convert to fraction form
    289,524/645,468 = 645,468/x
  3. Step 3: Cross multiply
    289,524x = 645,468 × 645,468
  4. Step 4: Simplify right side
    289,524x = 416,628,939,024
  5. Step 5: Solve for x
    x = 416,628,939,024/289,524
  6. Step 6: Final answer
    x = 1,439,013.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.