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Finding the Third Proportional to 289,533 and 645,486

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Solution

The third proportional to 289,533 and 645,486 is: 1,439,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,533 : 645,486 = 645,486 : x
  2. Step 2: Convert to fraction form
    289,533/645,486 = 645,486/x
  3. Step 3: Cross multiply
    289,533x = 645,486 × 645,486
  4. Step 4: Simplify right side
    289,533x = 416,652,176,196
  5. Step 5: Solve for x
    x = 416,652,176,196/289,533
  6. Step 6: Final answer
    x = 1,439,049.01

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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.