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Finding the Third Proportional to 265,114 and 401,532

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Solution

The third proportional to 265,114 and 401,532 is: 608,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,114 : 401,532 = 401,532 : x
  2. Step 2: Convert to fraction form
    265,114/401,532 = 401,532/x
  3. Step 3: Cross multiply
    265,114x = 401,532 × 401,532
  4. Step 4: Simplify right side
    265,114x = 161,227,947,024
  5. Step 5: Solve for x
    x = 161,227,947,024/265,114
  6. Step 6: Final answer
    x = 608,145.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.