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Finding the Third Proportional to 538,506 and 844,828

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Solution

The third proportional to 538,506 and 844,828 is: 1,325,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,506 : 844,828 = 844,828 : x
  2. Step 2: Convert to fraction form
    538,506/844,828 = 844,828/x
  3. Step 3: Cross multiply
    538,506x = 844,828 × 844,828
  4. Step 4: Simplify right side
    538,506x = 713,734,349,584
  5. Step 5: Solve for x
    x = 713,734,349,584/538,506
  6. Step 6: Final answer
    x = 1,325,397.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.