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Finding the Third Proportional to 287,760 and 450,414

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Solution

The third proportional to 287,760 and 450,414 is: 705,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,760 : 450,414 = 450,414 : x
  2. Step 2: Convert to fraction form
    287,760/450,414 = 450,414/x
  3. Step 3: Cross multiply
    287,760x = 450,414 × 450,414
  4. Step 4: Simplify right side
    287,760x = 202,872,771,396
  5. Step 5: Solve for x
    x = 202,872,771,396/287,760
  6. Step 6: Final answer
    x = 705,006.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.