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Finding the Third Proportional to 265,773 and 403,578

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Solution

The third proportional to 265,773 and 403,578 is: 612,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,773 : 403,578 = 403,578 : x
  2. Step 2: Convert to fraction form
    265,773/403,578 = 403,578/x
  3. Step 3: Cross multiply
    265,773x = 403,578 × 403,578
  4. Step 4: Simplify right side
    265,773x = 162,875,202,084
  5. Step 5: Solve for x
    x = 162,875,202,084/265,773
  6. Step 6: Final answer
    x = 612,835.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.