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Finding the Third Proportional to 531,196 and 798,822

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Solution

The third proportional to 531,196 and 798,822 is: 1,201,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,196 : 798,822 = 798,822 : x
  2. Step 2: Convert to fraction form
    531,196/798,822 = 798,822/x
  3. Step 3: Cross multiply
    531,196x = 798,822 × 798,822
  4. Step 4: Simplify right side
    531,196x = 638,116,587,684
  5. Step 5: Solve for x
    x = 638,116,587,684/531,196
  6. Step 6: Final answer
    x = 1,201,282.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.