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Finding the Third Proportional to 295,206 and 611,418

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Solution

The third proportional to 295,206 and 611,418 is: 1,266,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206 : 611,418 = 611,418 : x
  2. Step 2: Convert to fraction form
    295,206/611,418 = 611,418/x
  3. Step 3: Cross multiply
    295,206x = 611,418 × 611,418
  4. Step 4: Simplify right side
    295,206x = 373,831,970,724
  5. Step 5: Solve for x
    x = 373,831,970,724/295,206
  6. Step 6: Final answer
    x = 1,266,342.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.