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Finding the Third Proportional to 265,596 and 575,472

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Solution

The third proportional to 265,596 and 575,472 is: 1,246,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,596 : 575,472 = 575,472 : x
  2. Step 2: Convert to fraction form
    265,596/575,472 = 575,472/x
  3. Step 3: Cross multiply
    265,596x = 575,472 × 575,472
  4. Step 4: Simplify right side
    265,596x = 331,168,022,784
  5. Step 5: Solve for x
    x = 331,168,022,784/265,596
  6. Step 6: Final answer
    x = 1,246,886.33

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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.