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Finding the Third Proportional to 233,558 and 510,739

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Solution

The third proportional to 233,558 and 510,739 is: 1,116,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,558 : 510,739 = 510,739 : x
  2. Step 2: Convert to fraction form
    233,558/510,739 = 510,739/x
  3. Step 3: Cross multiply
    233,558x = 510,739 × 510,739
  4. Step 4: Simplify right side
    233,558x = 260,854,326,121
  5. Step 5: Solve for x
    x = 260,854,326,121/233,558
  6. Step 6: Final answer
    x = 1,116,871.72

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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.