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Finding the Third Proportional to 295,214 and 469,971

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Solution

The third proportional to 295,214 and 469,971 is: 748,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,214 : 469,971 = 469,971 : x
  2. Step 2: Convert to fraction form
    295,214/469,971 = 469,971/x
  3. Step 3: Cross multiply
    295,214x = 469,971 × 469,971
  4. Step 4: Simplify right side
    295,214x = 220,872,740,841
  5. Step 5: Solve for x
    x = 220,872,740,841/295,214
  6. Step 6: Final answer
    x = 748,178.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.