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Finding the Third Proportional to 286,192 and 453,056

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Solution

The third proportional to 286,192 and 453,056 is: 717,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,192 : 453,056 = 453,056 : x
  2. Step 2: Convert to fraction form
    286,192/453,056 = 453,056/x
  3. Step 3: Cross multiply
    286,192x = 453,056 × 453,056
  4. Step 4: Simplify right side
    286,192x = 205,259,739,136
  5. Step 5: Solve for x
    x = 205,259,739,136/286,192
  6. Step 6: Final answer
    x = 717,209.91

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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.