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Finding the Third Proportional to 501,317 and 822,959

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Solution

The third proportional to 501,317 and 822,959 is: 1,350,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,317 : 822,959 = 822,959 : x
  2. Step 2: Convert to fraction form
    501,317/822,959 = 822,959/x
  3. Step 3: Cross multiply
    501,317x = 822,959 × 822,959
  4. Step 4: Simplify right side
    501,317x = 677,261,515,681
  5. Step 5: Solve for x
    x = 677,261,515,681/501,317
  6. Step 6: Final answer
    x = 1,350,964.59

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.