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Finding the Third Proportional to 417,247.50 and 625,590

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Solution

The third proportional to 417,247.50 and 625,590 is: 937,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,247.50 : 625,590 = 625,590 : x
  2. Step 2: Convert to fraction form
    417,247.50/625,590 = 625,590/x
  3. Step 3: Cross multiply
    417,247.50x = 625,590 × 625,590
  4. Step 4: Simplify right side
    417,247.50x = 391,362,848,100
  5. Step 5: Solve for x
    x = 391,362,848,100/417,247.50
  6. Step 6: Final answer
    x = 937,963.31

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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.