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Finding the Third Proportional to 496,574 and 727,680

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Solution

The third proportional to 496,574 and 727,680 is: 1,066,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,574 : 727,680 = 727,680 : x
  2. Step 2: Convert to fraction form
    496,574/727,680 = 727,680/x
  3. Step 3: Cross multiply
    496,574x = 727,680 × 727,680
  4. Step 4: Simplify right side
    496,574x = 529,518,182,400
  5. Step 5: Solve for x
    x = 529,518,182,400/496,574
  6. Step 6: Final answer
    x = 1,066,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.