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Finding the Third Proportional to 347,311.13 and 524,664

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Solution

The third proportional to 347,311.13 and 524,664 is: 792,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,311.13 : 524,664 = 524,664 : x
  2. Step 2: Convert to fraction form
    347,311.13/524,664 = 524,664/x
  3. Step 3: Cross multiply
    347,311.13x = 524,664 × 524,664
  4. Step 4: Simplify right side
    347,311.13x = 275,272,312,896
  5. Step 5: Solve for x
    x = 275,272,312,896/347,311.13
  6. Step 6: Final answer
    x = 792,581.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.