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Finding the Third Proportional to 467,970.75 and 705,267

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Solution

The third proportional to 467,970.75 and 705,267 is: 1,062,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,970.75 : 705,267 = 705,267 : x
  2. Step 2: Convert to fraction form
    467,970.75/705,267 = 705,267/x
  3. Step 3: Cross multiply
    467,970.75x = 705,267 × 705,267
  4. Step 4: Simplify right side
    467,970.75x = 497,401,541,289
  5. Step 5: Solve for x
    x = 497,401,541,289/467,970.75
  6. Step 6: Final answer
    x = 1,062,890.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.