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Finding the Third Proportional to 265,074 and 552,502

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Solution

The third proportional to 265,074 and 552,502 is: 1,151,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,074 : 552,502 = 552,502 : x
  2. Step 2: Convert to fraction form
    265,074/552,502 = 552,502/x
  3. Step 3: Cross multiply
    265,074x = 552,502 × 552,502
  4. Step 4: Simplify right side
    265,074x = 305,258,460,004
  5. Step 5: Solve for x
    x = 305,258,460,004/265,074
  6. Step 6: Final answer
    x = 1,151,597.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.