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Finding the Third Proportional to 233,583 and 360,882

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Solution

The third proportional to 233,583 and 360,882 is: 557,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,583 : 360,882 = 360,882 : x
  2. Step 2: Convert to fraction form
    233,583/360,882 = 360,882/x
  3. Step 3: Cross multiply
    233,583x = 360,882 × 360,882
  4. Step 4: Simplify right side
    233,583x = 130,235,817,924
  5. Step 5: Solve for x
    x = 130,235,817,924/233,583
  6. Step 6: Final answer
    x = 557,556.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.