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Finding the Third Proportional to 571,327 and 835,959

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Solution

The third proportional to 571,327 and 835,959 is: 1,223,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,327 : 835,959 = 835,959 : x
  2. Step 2: Convert to fraction form
    571,327/835,959 = 835,959/x
  3. Step 3: Cross multiply
    571,327x = 835,959 × 835,959
  4. Step 4: Simplify right side
    571,327x = 698,827,449,681
  5. Step 5: Solve for x
    x = 698,827,449,681/571,327
  6. Step 6: Final answer
    x = 1,223,165.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.