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Finding the Third Proportional to 517,212 and 798,822

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Solution

The third proportional to 517,212 and 798,822 is: 1,233,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,212 : 798,822 = 798,822 : x
  2. Step 2: Convert to fraction form
    517,212/798,822 = 798,822/x
  3. Step 3: Cross multiply
    517,212x = 798,822 × 798,822
  4. Step 4: Simplify right side
    517,212x = 638,116,587,684
  5. Step 5: Solve for x
    x = 638,116,587,684/517,212
  6. Step 6: Final answer
    x = 1,233,762.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.