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Finding the Third Proportional to 295,282 and 693,221

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Solution

The third proportional to 295,282 and 693,221 is: 1,627,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,282 : 693,221 = 693,221 : x
  2. Step 2: Convert to fraction form
    295,282/693,221 = 693,221/x
  3. Step 3: Cross multiply
    295,282x = 693,221 × 693,221
  4. Step 4: Simplify right side
    295,282x = 480,555,354,841
  5. Step 5: Solve for x
    x = 480,555,354,841/295,282
  6. Step 6: Final answer
    x = 1,627,445.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.