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Finding the Third Proportional to 333,882 and 695,412

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Solution

The third proportional to 333,882 and 695,412 is: 1,448,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,882 : 695,412 = 695,412 : x
  2. Step 2: Convert to fraction form
    333,882/695,412 = 695,412/x
  3. Step 3: Cross multiply
    333,882x = 695,412 × 695,412
  4. Step 4: Simplify right side
    333,882x = 483,597,849,744
  5. Step 5: Solve for x
    x = 483,597,849,744/333,882
  6. Step 6: Final answer
    x = 1,448,409.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.