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Finding the Third Proportional to 298,048 and 695,584

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Solution

The third proportional to 298,048 and 695,584 is: 1,623,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,048 : 695,584 = 695,584 : x
  2. Step 2: Convert to fraction form
    298,048/695,584 = 695,584/x
  3. Step 3: Cross multiply
    298,048x = 695,584 × 695,584
  4. Step 4: Simplify right side
    298,048x = 483,837,101,056
  5. Step 5: Solve for x
    x = 483,837,101,056/298,048
  6. Step 6: Final answer
    x = 1,623,352.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.