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Finding the Third Proportional to 265,035 and 576,726

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Solution

The third proportional to 265,035 and 576,726 is: 1,254,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,035 : 576,726 = 576,726 : x
  2. Step 2: Convert to fraction form
    265,035/576,726 = 576,726/x
  3. Step 3: Cross multiply
    265,035x = 576,726 × 576,726
  4. Step 4: Simplify right side
    265,035x = 332,612,879,076
  5. Step 5: Solve for x
    x = 332,612,879,076/265,035
  6. Step 6: Final answer
    x = 1,254,977.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.