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Finding the Third Proportional to 265,745 and 403,536

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Solution

The third proportional to 265,745 and 403,536 is: 612,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,745 : 403,536 = 403,536 : x
  2. Step 2: Convert to fraction form
    265,745/403,536 = 403,536/x
  3. Step 3: Cross multiply
    265,745x = 403,536 × 403,536
  4. Step 4: Simplify right side
    265,745x = 162,841,303,296
  5. Step 5: Solve for x
    x = 162,841,303,296/265,745
  6. Step 6: Final answer
    x = 612,772.78

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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.