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Finding the Third Proportional to 364,992 and 783,688

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Solution

The third proportional to 364,992 and 783,688 is: 1,682,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,992 : 783,688 = 783,688 : x
  2. Step 2: Convert to fraction form
    364,992/783,688 = 783,688/x
  3. Step 3: Cross multiply
    364,992x = 783,688 × 783,688
  4. Step 4: Simplify right side
    364,992x = 614,166,881,344
  5. Step 5: Solve for x
    x = 614,166,881,344/364,992
  6. Step 6: Final answer
    x = 1,682,685.87

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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.