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Finding the Third Proportional to 323,541 and 702,971

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Solution

The third proportional to 323,541 and 702,971 is: 1,527,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,541 : 702,971 = 702,971 : x
  2. Step 2: Convert to fraction form
    323,541/702,971 = 702,971/x
  3. Step 3: Cross multiply
    323,541x = 702,971 × 702,971
  4. Step 4: Simplify right side
    323,541x = 494,168,226,841
  5. Step 5: Solve for x
    x = 494,168,226,841/323,541
  6. Step 6: Final answer
    x = 1,527,374.36

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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.