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Finding the Third Proportional to 506,396.25 and 783,855

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Solution

The third proportional to 506,396.25 and 783,855 is: 1,213,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,396.25 : 783,855 = 783,855 : x
  2. Step 2: Convert to fraction form
    506,396.25/783,855 = 783,855/x
  3. Step 3: Cross multiply
    506,396.25x = 783,855 × 783,855
  4. Step 4: Simplify right side
    506,396.25x = 614,428,661,025
  5. Step 5: Solve for x
    x = 614,428,661,025/506,396.25
  6. Step 6: Final answer
    x = 1,213,335.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.