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Finding the Third Proportional to 262,942 and 574,514

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Solution

The third proportional to 262,942 and 574,514 is: 1,255,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,942 : 574,514 = 574,514 : x
  2. Step 2: Convert to fraction form
    262,942/574,514 = 574,514/x
  3. Step 3: Cross multiply
    262,942x = 574,514 × 574,514
  4. Step 4: Simplify right side
    262,942x = 330,066,336,196
  5. Step 5: Solve for x
    x = 330,066,336,196/262,942
  6. Step 6: Final answer
    x = 1,255,281.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.