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Finding the Third Proportional to 454,240.13 and 661,644

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Solution

The third proportional to 454,240.13 and 661,644 is: 963,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,240.13 : 661,644 = 661,644 : x
  2. Step 2: Convert to fraction form
    454,240.13/661,644 = 661,644/x
  3. Step 3: Cross multiply
    454,240.13x = 661,644 × 661,644
  4. Step 4: Simplify right side
    454,240.13x = 437,772,782,736
  5. Step 5: Solve for x
    x = 437,772,782,736/454,240.13
  6. Step 6: Final answer
    x = 963,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.