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Finding the Third Proportional to 333,370 and 718,864

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Solution

The third proportional to 333,370 and 718,864 is: 1,550,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,370 : 718,864 = 718,864 : x
  2. Step 2: Convert to fraction form
    333,370/718,864 = 718,864/x
  3. Step 3: Cross multiply
    333,370x = 718,864 × 718,864
  4. Step 4: Simplify right side
    333,370x = 516,765,450,496
  5. Step 5: Solve for x
    x = 516,765,450,496/333,370
  6. Step 6: Final answer
    x = 1,550,125.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.