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Finding the Third Proportional to 347,603.91 and 537,945.05

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Solution

The third proportional to 347,603.91 and 537,945.05 is: 832,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,603.91 : 537,945.05 = 537,945.05 : x
  2. Step 2: Convert to fraction form
    347,603.91/537,945.05 = 537,945.05/x
  3. Step 3: Cross multiply
    347,603.91x = 537,945.05 × 537,945.05
  4. Step 4: Simplify right side
    347,603.91x = 289,384,873,457.35
  5. Step 5: Solve for x
    x = 289,384,873,457.35/347,603.91
  6. Step 6: Final answer
    x = 832,513.30

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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.