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Finding the Third Proportional to 228,972 and 497,373

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Solution

The third proportional to 228,972 and 497,373 is: 1,080,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,972 : 497,373 = 497,373 : x
  2. Step 2: Convert to fraction form
    228,972/497,373 = 497,373/x
  3. Step 3: Cross multiply
    228,972x = 497,373 × 497,373
  4. Step 4: Simplify right side
    228,972x = 247,379,901,129
  5. Step 5: Solve for x
    x = 247,379,901,129/228,972
  6. Step 6: Final answer
    x = 1,080,393.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.