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Finding the Third Proportional to 366,496 and 795,658

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Solution

The third proportional to 366,496 and 795,658 is: 1,727,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,496 : 795,658 = 795,658 : x
  2. Step 2: Convert to fraction form
    366,496/795,658 = 795,658/x
  3. Step 3: Cross multiply
    366,496x = 795,658 × 795,658
  4. Step 4: Simplify right side
    366,496x = 633,071,652,964
  5. Step 5: Solve for x
    x = 633,071,652,964/366,496
  6. Step 6: Final answer
    x = 1,727,363.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.