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Finding the Third Proportional to 323,582 and 709,372

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Solution

The third proportional to 323,582 and 709,372 is: 1,555,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,582 : 709,372 = 709,372 : x
  2. Step 2: Convert to fraction form
    323,582/709,372 = 709,372/x
  3. Step 3: Cross multiply
    323,582x = 709,372 × 709,372
  4. Step 4: Simplify right side
    323,582x = 503,208,634,384
  5. Step 5: Solve for x
    x = 503,208,634,384/323,582
  6. Step 6: Final answer
    x = 1,555,119.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.