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Finding the Third Proportional to 333,365 and 718,854

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Solution

The third proportional to 333,365 and 718,854 is: 1,550,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,365 : 718,854 = 718,854 : x
  2. Step 2: Convert to fraction form
    333,365/718,854 = 718,854/x
  3. Step 3: Cross multiply
    333,365x = 718,854 × 718,854
  4. Step 4: Simplify right side
    333,365x = 516,751,073,316
  5. Step 5: Solve for x
    x = 516,751,073,316/333,365
  6. Step 6: Final answer
    x = 1,550,105.96

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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.