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Finding the Third Proportional to 655,152 and 961,240

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Solution

The third proportional to 655,152 and 961,240 is: 1,410,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,152 : 961,240 = 961,240 : x
  2. Step 2: Convert to fraction form
    655,152/961,240 = 961,240/x
  3. Step 3: Cross multiply
    655,152x = 961,240 × 961,240
  4. Step 4: Simplify right side
    655,152x = 923,982,337,600
  5. Step 5: Solve for x
    x = 923,982,337,600/655,152
  6. Step 6: Final answer
    x = 1,410,332.77

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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.