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Finding the Third Proportional to 304,373 and 473,138

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Solution

The third proportional to 304,373 and 473,138 is: 735,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,373 : 473,138 = 473,138 : x
  2. Step 2: Convert to fraction form
    304,373/473,138 = 473,138/x
  3. Step 3: Cross multiply
    304,373x = 473,138 × 473,138
  4. Step 4: Simplify right side
    304,373x = 223,859,567,044
  5. Step 5: Solve for x
    x = 223,859,567,044/304,373
  6. Step 6: Final answer
    x = 735,477.74

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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.