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Finding the Third Proportional to 653,159 and 960,521

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Solution

The third proportional to 653,159 and 960,521 is: 1,412,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,159 : 960,521 = 960,521 : x
  2. Step 2: Convert to fraction form
    653,159/960,521 = 960,521/x
  3. Step 3: Cross multiply
    653,159x = 960,521 × 960,521
  4. Step 4: Simplify right side
    653,159x = 922,600,591,441
  5. Step 5: Solve for x
    x = 922,600,591,441/653,159
  6. Step 6: Final answer
    x = 1,412,520.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.