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Finding the Third Proportional to 233,668 and 510,578

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Solution

The third proportional to 233,668 and 510,578 is: 1,115,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,668 : 510,578 = 510,578 : x
  2. Step 2: Convert to fraction form
    233,668/510,578 = 510,578/x
  3. Step 3: Cross multiply
    233,668x = 510,578 × 510,578
  4. Step 4: Simplify right side
    233,668x = 260,689,894,084
  5. Step 5: Solve for x
    x = 260,689,894,084/233,668
  6. Step 6: Final answer
    x = 1,115,642.25

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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.