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Finding the Third Proportional to 484,406.16 and 756,041.77

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Solution

The third proportional to 484,406.16 and 756,041.77 is: 1,179,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,406.16 : 756,041.77 = 756,041.77 : x
  2. Step 2: Convert to fraction form
    484,406.16/756,041.77 = 756,041.77/x
  3. Step 3: Cross multiply
    484,406.16x = 756,041.77 × 756,041.77
  4. Step 4: Simplify right side
    484,406.16x = 571,599,151,369.37
  5. Step 5: Solve for x
    x = 571,599,151,369.37/484,406.16
  6. Step 6: Final answer
    x = 1,179,999.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.