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Finding the Third Proportional to 335,319.75 and 506,128.50

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Solution

The third proportional to 335,319.75 and 506,128.50 is: 763,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,319.75 : 506,128.50 = 506,128.50 : x
  2. Step 2: Convert to fraction form
    335,319.75/506,128.50 = 506,128.50/x
  3. Step 3: Cross multiply
    335,319.75x = 506,128.50 × 506,128.50
  4. Step 4: Simplify right side
    335,319.75x = 256,166,058,512.25
  5. Step 5: Solve for x
    x = 256,166,058,512.25/335,319.75
  6. Step 6: Final answer
    x = 763,945.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.