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Finding the Third Proportional to 305,225 and 448,702

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Solution

The third proportional to 305,225 and 448,702 is: 659,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,225 : 448,702 = 448,702 : x
  2. Step 2: Convert to fraction form
    305,225/448,702 = 448,702/x
  3. Step 3: Cross multiply
    305,225x = 448,702 × 448,702
  4. Step 4: Simplify right side
    305,225x = 201,333,484,804
  5. Step 5: Solve for x
    x = 201,333,484,804/305,225
  6. Step 6: Final answer
    x = 659,623.18

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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.