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Finding the Third Proportional to 333,699.75 and 787,342.78

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Solution

The third proportional to 333,699.75 and 787,342.78 is: 1,857,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,699.75 : 787,342.78 = 787,342.78 : x
  2. Step 2: Convert to fraction form
    333,699.75/787,342.78 = 787,342.78/x
  3. Step 3: Cross multiply
    333,699.75x = 787,342.78 × 787,342.78
  4. Step 4: Simplify right side
    333,699.75x = 619,908,655,186.49
  5. Step 5: Solve for x
    x = 619,908,655,186.49/333,699.75
  6. Step 6: Final answer
    x = 1,857,683.91

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.