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Finding the Third Proportional to 579,730 and 801,058

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Solution

The third proportional to 579,730 and 801,058 is: 1,106,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,730 : 801,058 = 801,058 : x
  2. Step 2: Convert to fraction form
    579,730/801,058 = 801,058/x
  3. Step 3: Cross multiply
    579,730x = 801,058 × 801,058
  4. Step 4: Simplify right side
    579,730x = 641,693,919,364
  5. Step 5: Solve for x
    x = 641,693,919,364/579,730
  6. Step 6: Final answer
    x = 1,106,884.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.