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Finding the Third Proportional to 377,721 and 528,061.50

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Solution

The third proportional to 377,721 and 528,061.50 is: 738,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,721 : 528,061.50 = 528,061.50 : x
  2. Step 2: Convert to fraction form
    377,721/528,061.50 = 528,061.50/x
  3. Step 3: Cross multiply
    377,721x = 528,061.50 × 528,061.50
  4. Step 4: Simplify right side
    377,721x = 278,848,947,782.25
  5. Step 5: Solve for x
    x = 278,848,947,782.25/377,721
  6. Step 6: Final answer
    x = 738,240.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.