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Finding the Third Proportional to 304,382 and 473,151

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Solution

The third proportional to 304,382 and 473,151 is: 735,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,382 : 473,151 = 473,151 : x
  2. Step 2: Convert to fraction form
    304,382/473,151 = 473,151/x
  3. Step 3: Cross multiply
    304,382x = 473,151 × 473,151
  4. Step 4: Simplify right side
    304,382x = 223,871,868,801
  5. Step 5: Solve for x
    x = 223,871,868,801/304,382
  6. Step 6: Final answer
    x = 735,496.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.