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Finding the Third Proportional to 413,484.75 and 844,465.50

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Solution

The third proportional to 413,484.75 and 844,465.50 is: 1,724,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,484.75 : 844,465.50 = 844,465.50 : x
  2. Step 2: Convert to fraction form
    413,484.75/844,465.50 = 844,465.50/x
  3. Step 3: Cross multiply
    413,484.75x = 844,465.50 × 844,465.50
  4. Step 4: Simplify right side
    413,484.75x = 713,121,980,690.25
  5. Step 5: Solve for x
    x = 713,121,980,690.25/413,484.75
  6. Step 6: Final answer
    x = 1,724,663.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.