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Finding the Third Proportional to 584,269.45 and 874,069.73

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Solution

The third proportional to 584,269.45 and 874,069.73 is: 1,307,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,269.45 : 874,069.73 = 874,069.73 : x
  2. Step 2: Convert to fraction form
    584,269.45/874,069.73 = 874,069.73/x
  3. Step 3: Cross multiply
    584,269.45x = 874,069.73 × 874,069.73
  4. Step 4: Simplify right side
    584,269.45x = 763,997,900,550.38
  5. Step 5: Solve for x
    x = 763,997,900,550.38/584,269.45
  6. Step 6: Final answer
    x = 1,307,612.26

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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.