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Finding the Third Proportional to 265,032 and 565,785

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Solution

The third proportional to 265,032 and 565,785 is: 1,207,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,032 : 565,785 = 565,785 : x
  2. Step 2: Convert to fraction form
    265,032/565,785 = 565,785/x
  3. Step 3: Cross multiply
    265,032x = 565,785 × 565,785
  4. Step 4: Simplify right side
    265,032x = 320,112,666,225
  5. Step 5: Solve for x
    x = 320,112,666,225/265,032
  6. Step 6: Final answer
    x = 1,207,826.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.