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Finding the Third Proportional to 293,271.75 and 453,385.13

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Solution

The third proportional to 293,271.75 and 453,385.13 is: 700,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,271.75 : 453,385.13 = 453,385.13 : x
  2. Step 2: Convert to fraction form
    293,271.75/453,385.13 = 453,385.13/x
  3. Step 3: Cross multiply
    293,271.75x = 453,385.13 × 453,385.13
  4. Step 4: Simplify right side
    293,271.75x = 205,558,071,571.27
  5. Step 5: Solve for x
    x = 205,558,071,571.27/293,271.75
  6. Step 6: Final answer
    x = 700,913.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.