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Finding the Third Proportional to 364,937.06 and 783,815.06

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Solution

The third proportional to 364,937.06 and 783,815.06 is: 1,683,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,937.06 : 783,815.06 = 783,815.06 : x
  2. Step 2: Convert to fraction form
    364,937.06/783,815.06 = 783,815.06/x
  3. Step 3: Cross multiply
    364,937.06x = 783,815.06 × 783,815.06
  4. Step 4: Simplify right side
    364,937.06x = 614,366,052,201.88
  5. Step 5: Solve for x
    x = 614,366,052,201.88/364,937.06
  6. Step 6: Final answer
    x = 1,683,484.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.