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Finding the Third Proportional to 331,030.50 and 701,784

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Solution

The third proportional to 331,030.50 and 701,784 is: 1,487,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,030.50 : 701,784 = 701,784 : x
  2. Step 2: Convert to fraction form
    331,030.50/701,784 = 701,784/x
  3. Step 3: Cross multiply
    331,030.50x = 701,784 × 701,784
  4. Step 4: Simplify right side
    331,030.50x = 492,500,782,656
  5. Step 5: Solve for x
    x = 492,500,782,656/331,030.50
  6. Step 6: Final answer
    x = 1,487,780.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.