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Finding the Third Proportional to 288,768 and 695,673

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Solution

The third proportional to 288,768 and 695,673 is: 1,675,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,768 : 695,673 = 695,673 : x
  2. Step 2: Convert to fraction form
    288,768/695,673 = 695,673/x
  3. Step 3: Cross multiply
    288,768x = 695,673 × 695,673
  4. Step 4: Simplify right side
    288,768x = 483,960,922,929
  5. Step 5: Solve for x
    x = 483,960,922,929/288,768
  6. Step 6: Final answer
    x = 1,675,950.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.