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Finding the Third Proportional to 397,252.69 and 510,058.69

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Solution

The third proportional to 397,252.69 and 510,058.69 is: 654,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,252.69 : 510,058.69 = 510,058.69 : x
  2. Step 2: Convert to fraction form
    397,252.69/510,058.69 = 510,058.69/x
  3. Step 3: Cross multiply
    397,252.69x = 510,058.69 × 510,058.69
  4. Step 4: Simplify right side
    397,252.69x = 260,159,864,694.22
  5. Step 5: Solve for x
    x = 260,159,864,694.22/397,252.69
  6. Step 6: Final answer
    x = 654,897.68

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.