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Finding the Third Proportional to 333,346 and 718,816

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Solution

The third proportional to 333,346 and 718,816 is: 1,550,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,346 : 718,816 = 718,816 : x
  2. Step 2: Convert to fraction form
    333,346/718,816 = 718,816/x
  3. Step 3: Cross multiply
    333,346x = 718,816 × 718,816
  4. Step 4: Simplify right side
    333,346x = 516,696,441,856
  5. Step 5: Solve for x
    x = 516,696,441,856/333,346
  6. Step 6: Final answer
    x = 1,550,030.42

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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.