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Finding the Third Proportional to 322,513 and 501,058

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Solution

The third proportional to 322,513 and 501,058 is: 778,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,513 : 501,058 = 501,058 : x
  2. Step 2: Convert to fraction form
    322,513/501,058 = 501,058/x
  3. Step 3: Cross multiply
    322,513x = 501,058 × 501,058
  4. Step 4: Simplify right side
    322,513x = 251,059,119,364
  5. Step 5: Solve for x
    x = 251,059,119,364/322,513
  6. Step 6: Final answer
    x = 778,446.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.