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Finding the Third Proportional to 584,753.06 and 874,749.94

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Solution

The third proportional to 584,753.06 and 874,749.94 is: 1,308,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,753.06 : 874,749.94 = 874,749.94 : x
  2. Step 2: Convert to fraction form
    584,753.06/874,749.94 = 874,749.94/x
  3. Step 3: Cross multiply
    584,753.06x = 874,749.94 × 874,749.94
  4. Step 4: Simplify right side
    584,753.06x = 765,187,453,156.25
  5. Step 5: Solve for x
    x = 765,187,453,156.25/584,753.06
  6. Step 6: Final answer
    x = 1,308,565.11

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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.