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Finding the Third Proportional to 584,266.92 and 874,065.94

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Solution

The third proportional to 584,266.92 and 874,065.94 is: 1,307,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,266.92 : 874,065.94 = 874,065.94 : x
  2. Step 2: Convert to fraction form
    584,266.92/874,065.94 = 874,065.94/x
  3. Step 3: Cross multiply
    584,266.92x = 874,065.94 × 874,065.94
  4. Step 4: Simplify right side
    584,266.92x = 763,991,263,097.75
  5. Step 5: Solve for x
    x = 763,991,263,097.75/584,266.92
  6. Step 6: Final answer
    x = 1,307,606.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.