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Finding the Third Proportional to 587,328 and 893,292

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Solution

The third proportional to 587,328 and 893,292 is: 1,358,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,328 : 893,292 = 893,292 : x
  2. Step 2: Convert to fraction form
    587,328/893,292 = 893,292/x
  3. Step 3: Cross multiply
    587,328x = 893,292 × 893,292
  4. Step 4: Simplify right side
    587,328x = 797,970,597,264
  5. Step 5: Solve for x
    x = 797,970,597,264/587,328
  6. Step 6: Final answer
    x = 1,358,645.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.