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Finding the Third Proportional to 584,259.19 and 874,053.56

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Solution

The third proportional to 584,259.19 and 874,053.56 is: 1,307,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,259.19 : 874,053.56 = 874,053.56 : x
  2. Step 2: Convert to fraction form
    584,259.19/874,053.56 = 874,053.56/x
  3. Step 3: Cross multiply
    584,259.19x = 874,053.56 × 874,053.56
  4. Step 4: Simplify right side
    584,259.19x = 763,969,630,118.94
  5. Step 5: Solve for x
    x = 763,969,630,118.94/584,259.19
  6. Step 6: Final answer
    x = 1,307,586.85

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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.