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Finding the Third Proportional to 304,569 and 446,465.25

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Solution

The third proportional to 304,569 and 446,465.25 is: 654,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,569 : 446,465.25 = 446,465.25 : x
  2. Step 2: Convert to fraction form
    304,569/446,465.25 = 446,465.25/x
  3. Step 3: Cross multiply
    304,569x = 446,465.25 × 446,465.25
  4. Step 4: Simplify right side
    304,569x = 199,331,219,457.56
  5. Step 5: Solve for x
    x = 199,331,219,457.56/304,569
  6. Step 6: Final answer
    x = 654,469.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.