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Finding the Third Proportional to 454,861.83 and 690,596.51

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Solution

The third proportional to 454,861.83 and 690,596.51 is: 1,048,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,861.83 : 690,596.51 = 690,596.51 : x
  2. Step 2: Convert to fraction form
    454,861.83/690,596.51 = 690,596.51/x
  3. Step 3: Cross multiply
    454,861.83x = 690,596.51 × 690,596.51
  4. Step 4: Simplify right side
    454,861.83x = 476,923,536,602.82
  5. Step 5: Solve for x
    x = 476,923,536,602.82/454,861.83
  6. Step 6: Final answer
    x = 1,048,502.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.