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Finding the Third Proportional to 286,208 and 453,094

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Solution

The third proportional to 286,208 and 453,094 is: 717,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,208 : 453,094 = 453,094 : x
  2. Step 2: Convert to fraction form
    286,208/453,094 = 453,094/x
  3. Step 3: Cross multiply
    286,208x = 453,094 × 453,094
  4. Step 4: Simplify right side
    286,208x = 205,294,172,836
  5. Step 5: Solve for x
    x = 205,294,172,836/286,208
  6. Step 6: Final answer
    x = 717,290.13

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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.