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Finding the Third Proportional to 395,284.50 and 869,292

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Solution

The third proportional to 395,284.50 and 869,292 is: 1,911,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,284.50 : 869,292 = 869,292 : x
  2. Step 2: Convert to fraction form
    395,284.50/869,292 = 869,292/x
  3. Step 3: Cross multiply
    395,284.50x = 869,292 × 869,292
  4. Step 4: Simplify right side
    395,284.50x = 755,668,581,264
  5. Step 5: Solve for x
    x = 755,668,581,264/395,284.50
  6. Step 6: Final answer
    x = 1,911,708.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.