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Finding the Third Proportional to 596,500 and 903,434

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Solution

The third proportional to 596,500 and 903,434 is: 1,368,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,500 : 903,434 = 903,434 : x
  2. Step 2: Convert to fraction form
    596,500/903,434 = 903,434/x
  3. Step 3: Cross multiply
    596,500x = 903,434 × 903,434
  4. Step 4: Simplify right side
    596,500x = 816,192,992,356
  5. Step 5: Solve for x
    x = 816,192,992,356/596,500
  6. Step 6: Final answer
    x = 1,368,303.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.