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Finding the Third Proportional to 304,781 and 448,332

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Solution

The third proportional to 304,781 and 448,332 is: 659,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,781 : 448,332 = 448,332 : x
  2. Step 2: Convert to fraction form
    304,781/448,332 = 448,332/x
  3. Step 3: Cross multiply
    304,781x = 448,332 × 448,332
  4. Step 4: Simplify right side
    304,781x = 201,001,582,224
  5. Step 5: Solve for x
    x = 201,001,582,224/304,781
  6. Step 6: Final answer
    x = 659,495.12

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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.