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Finding the Third Proportional to 333,700 and 787,391.50

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Solution

The third proportional to 333,700 and 787,391.50 is: 1,857,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,700 : 787,391.50 = 787,391.50 : x
  2. Step 2: Convert to fraction form
    333,700/787,391.50 = 787,391.50/x
  3. Step 3: Cross multiply
    333,700x = 787,391.50 × 787,391.50
  4. Step 4: Simplify right side
    333,700x = 619,985,374,272.25
  5. Step 5: Solve for x
    x = 619,985,374,272.25/333,700
  6. Step 6: Final answer
    x = 1,857,912.42

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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.