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Finding the Third Proportional to 506,128 and 758,040

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Solution

The third proportional to 506,128 and 758,040 is: 1,135,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,128 : 758,040 = 758,040 : x
  2. Step 2: Convert to fraction form
    506,128/758,040 = 758,040/x
  3. Step 3: Cross multiply
    506,128x = 758,040 × 758,040
  4. Step 4: Simplify right side
    506,128x = 574,624,641,600
  5. Step 5: Solve for x
    x = 574,624,641,600/506,128
  6. Step 6: Final answer
    x = 1,135,334.62

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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.