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Finding the Third Proportional to 298,685 and 704,835

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Solution

The third proportional to 298,685 and 704,835 is: 1,663,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,685 : 704,835 = 704,835 : x
  2. Step 2: Convert to fraction form
    298,685/704,835 = 704,835/x
  3. Step 3: Cross multiply
    298,685x = 704,835 × 704,835
  4. Step 4: Simplify right side
    298,685x = 496,792,377,225
  5. Step 5: Solve for x
    x = 496,792,377,225/298,685
  6. Step 6: Final answer
    x = 1,663,265.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.