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Finding the Third Proportional to 535,338 and 713,700

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Solution

The third proportional to 535,338 and 713,700 is: 951,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,338 : 713,700 = 713,700 : x
  2. Step 2: Convert to fraction form
    535,338/713,700 = 713,700/x
  3. Step 3: Cross multiply
    535,338x = 713,700 × 713,700
  4. Step 4: Simplify right side
    535,338x = 509,367,690,000
  5. Step 5: Solve for x
    x = 509,367,690,000/535,338
  6. Step 6: Final answer
    x = 951,488.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.