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Finding the Third Proportional to 286,196 and 621,596

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Solution

The third proportional to 286,196 and 621,596 is: 1,350,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196 : 621,596 = 621,596 : x
  2. Step 2: Convert to fraction form
    286,196/621,596 = 621,596/x
  3. Step 3: Cross multiply
    286,196x = 621,596 × 621,596
  4. Step 4: Simplify right side
    286,196x = 386,381,587,216
  5. Step 5: Solve for x
    x = 386,381,587,216/286,196
  6. Step 6: Final answer
    x = 1,350,059.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.