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Finding the Third Proportional to 333,579 and 709,443

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Solution

The third proportional to 333,579 and 709,443 is: 1,508,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,579 : 709,443 = 709,443 : x
  2. Step 2: Convert to fraction form
    333,579/709,443 = 709,443/x
  3. Step 3: Cross multiply
    333,579x = 709,443 × 709,443
  4. Step 4: Simplify right side
    333,579x = 503,309,370,249
  5. Step 5: Solve for x
    x = 503,309,370,249/333,579
  6. Step 6: Final answer
    x = 1,508,816.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.