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Finding the Third Proportional to 304,584 and 446,484

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Solution

The third proportional to 304,584 and 446,484 is: 654,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,584 : 446,484 = 446,484 : x
  2. Step 2: Convert to fraction form
    304,584/446,484 = 446,484/x
  3. Step 3: Cross multiply
    304,584x = 446,484 × 446,484
  4. Step 4: Simplify right side
    304,584x = 199,347,962,256
  5. Step 5: Solve for x
    x = 199,347,962,256/304,584
  6. Step 6: Final answer
    x = 654,492.56

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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.