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Finding the Third Proportional to 274,561.88 and 562,502.81

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Solution

The third proportional to 274,561.88 and 562,502.81 is: 1,152,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,561.88 : 562,502.81 = 562,502.81 : x
  2. Step 2: Convert to fraction form
    274,561.88/562,502.81 = 562,502.81/x
  3. Step 3: Cross multiply
    274,561.88x = 562,502.81 × 562,502.81
  4. Step 4: Simplify right side
    274,561.88x = 316,409,414,070.41
  5. Step 5: Solve for x
    x = 316,409,414,070.41/274,561.88
  6. Step 6: Final answer
    x = 1,152,415.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.