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Finding the Third Proportional to 341,490.75 and 493,355.25

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Solution

The third proportional to 341,490.75 and 493,355.25 is: 712,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,490.75 : 493,355.25 = 493,355.25 : x
  2. Step 2: Convert to fraction form
    341,490.75/493,355.25 = 493,355.25/x
  3. Step 3: Cross multiply
    341,490.75x = 493,355.25 × 493,355.25
  4. Step 4: Simplify right side
    341,490.75x = 243,399,402,702.56
  5. Step 5: Solve for x
    x = 243,399,402,702.56/341,490.75
  6. Step 6: Final answer
    x = 712,755.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.