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Finding the Third Proportional to 296,816.91 and 614,622.94

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Solution

The third proportional to 296,816.91 and 614,622.94 is: 1,272,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,816.91 : 614,622.94 = 614,622.94 : x
  2. Step 2: Convert to fraction form
    296,816.91/614,622.94 = 614,622.94/x
  3. Step 3: Cross multiply
    296,816.91x = 614,622.94 × 614,622.94
  4. Step 4: Simplify right side
    296,816.91x = 377,761,355,301.13
  5. Step 5: Solve for x
    x = 377,761,355,301.13/296,816.91
  6. Step 6: Final answer
    x = 1,272,708.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.