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Finding the Third Proportional to 803,500 and 1,176,498

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Solution

The third proportional to 803,500 and 1,176,498 is: 1,722,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,500 : 1,176,498 = 1,176,498 : x
  2. Step 2: Convert to fraction form
    803,500/1,176,498 = 1,176,498/x
  3. Step 3: Cross multiply
    803,500x = 1,176,498 × 1,176,498
  4. Step 4: Simplify right side
    803,500x = 1,384,147,544,004
  5. Step 5: Solve for x
    x = 1,384,147,544,004/803,500
  6. Step 6: Final answer
    x = 1,722,647.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.