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Finding the Third Proportional to 333,386 and 718,896

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Solution

The third proportional to 333,386 and 718,896 is: 1,550,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,386 : 718,896 = 718,896 : x
  2. Step 2: Convert to fraction form
    333,386/718,896 = 718,896/x
  3. Step 3: Cross multiply
    333,386x = 718,896 × 718,896
  4. Step 4: Simplify right side
    333,386x = 516,811,458,816
  5. Step 5: Solve for x
    x = 516,811,458,816/333,386
  6. Step 6: Final answer
    x = 1,550,189.45

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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.