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Finding the Third Proportional to 304,282 and 473,009

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Solution

The third proportional to 304,282 and 473,009 is: 735,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,282 : 473,009 = 473,009 : x
  2. Step 2: Convert to fraction form
    304,282/473,009 = 473,009/x
  3. Step 3: Cross multiply
    304,282x = 473,009 × 473,009
  4. Step 4: Simplify right side
    304,282x = 223,737,514,081
  5. Step 5: Solve for x
    x = 223,737,514,081/304,282
  6. Step 6: Final answer
    x = 735,296.58

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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.