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Finding the Third Proportional to 265,509 and 575,287

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Solution

The third proportional to 265,509 and 575,287 is: 1,246,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,509 : 575,287 = 575,287 : x
  2. Step 2: Convert to fraction form
    265,509/575,287 = 575,287/x
  3. Step 3: Cross multiply
    265,509x = 575,287 × 575,287
  4. Step 4: Simplify right side
    265,509x = 330,955,132,369
  5. Step 5: Solve for x
    x = 330,955,132,369/265,509
  6. Step 6: Final answer
    x = 1,246,493.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.