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Finding the Third Proportional to 287,294 and 610,900

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Solution

The third proportional to 287,294 and 610,900 is: 1,299,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,294 : 610,900 = 610,900 : x
  2. Step 2: Convert to fraction form
    287,294/610,900 = 610,900/x
  3. Step 3: Cross multiply
    287,294x = 610,900 × 610,900
  4. Step 4: Simplify right side
    287,294x = 373,198,810,000
  5. Step 5: Solve for x
    x = 373,198,810,000/287,294
  6. Step 6: Final answer
    x = 1,299,013.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.