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Finding the Third Proportional to 286,209 and 453,096

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Solution

The third proportional to 286,209 and 453,096 is: 717,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,209 : 453,096 = 453,096 : x
  2. Step 2: Convert to fraction form
    286,209/453,096 = 453,096/x
  3. Step 3: Cross multiply
    286,209x = 453,096 × 453,096
  4. Step 4: Simplify right side
    286,209x = 205,295,985,216
  5. Step 5: Solve for x
    x = 205,295,985,216/286,209
  6. Step 6: Final answer
    x = 717,293.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.