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Finding the Third Proportional to 705,358.50 and 1,056,393

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Solution

The third proportional to 705,358.50 and 1,056,393 is: 1,582,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,358.50 : 1,056,393 = 1,056,393 : x
  2. Step 2: Convert to fraction form
    705,358.50/1,056,393 = 1,056,393/x
  3. Step 3: Cross multiply
    705,358.50x = 1,056,393 × 1,056,393
  4. Step 4: Simplify right side
    705,358.50x = 1,115,966,170,449
  5. Step 5: Solve for x
    x = 1,115,966,170,449/705,358.50
  6. Step 6: Final answer
    x = 1,582,126.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.