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Finding the Third Proportional to 265,952 and 581,952

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Solution

The third proportional to 265,952 and 581,952 is: 1,273,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,952 : 581,952 = 581,952 : x
  2. Step 2: Convert to fraction form
    265,952/581,952 = 581,952/x
  3. Step 3: Cross multiply
    265,952x = 581,952 × 581,952
  4. Step 4: Simplify right side
    265,952x = 338,668,130,304
  5. Step 5: Solve for x
    x = 338,668,130,304/265,952
  6. Step 6: Final answer
    x = 1,273,418.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.