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Finding the Third Proportional to 333,126 and 718,726.50

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Solution

The third proportional to 333,126 and 718,726.50 is: 1,550,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,126 : 718,726.50 = 718,726.50 : x
  2. Step 2: Convert to fraction form
    333,126/718,726.50 = 718,726.50/x
  3. Step 3: Cross multiply
    333,126x = 718,726.50 × 718,726.50
  4. Step 4: Simplify right side
    333,126x = 516,567,781,802.25
  5. Step 5: Solve for x
    x = 516,567,781,802.25/333,126
  6. Step 6: Final answer
    x = 1,550,667.86

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