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Finding the Third Proportional to 437,001.75 and 934,719.75

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Solution

The third proportional to 437,001.75 and 934,719.75 is: 1,999,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,001.75 : 934,719.75 = 934,719.75 : x
  2. Step 2: Convert to fraction form
    437,001.75/934,719.75 = 934,719.75/x
  3. Step 3: Cross multiply
    437,001.75x = 934,719.75 × 934,719.75
  4. Step 4: Simplify right side
    437,001.75x = 873,701,011,040.06
  5. Step 5: Solve for x
    x = 873,701,011,040.06/437,001.75
  6. Step 6: Final answer
    x = 1,999,307.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.