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Finding the Third Proportional to 333,846 and 517,718

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Solution

The third proportional to 333,846 and 517,718 is: 802,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,846 : 517,718 = 517,718 : x
  2. Step 2: Convert to fraction form
    333,846/517,718 = 517,718/x
  3. Step 3: Cross multiply
    333,846x = 517,718 × 517,718
  4. Step 4: Simplify right side
    333,846x = 268,031,927,524
  5. Step 5: Solve for x
    x = 268,031,927,524/333,846
  6. Step 6: Final answer
    x = 802,860.98

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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.