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Finding the Third Proportional to 304,816.50 and 663,925.50

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Solution

The third proportional to 304,816.50 and 663,925.50 is: 1,446,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,816.50 : 663,925.50 = 663,925.50 : x
  2. Step 2: Convert to fraction form
    304,816.50/663,925.50 = 663,925.50/x
  3. Step 3: Cross multiply
    304,816.50x = 663,925.50 × 663,925.50
  4. Step 4: Simplify right side
    304,816.50x = 440,797,069,550.25
  5. Step 5: Solve for x
    x = 440,797,069,550.25/304,816.50
  6. Step 6: Final answer
    x = 1,446,106.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.