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Finding the Third Proportional to 355,309.92 and 546,688.22

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Solution

The third proportional to 355,309.92 and 546,688.22 is: 841,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,309.92 : 546,688.22 = 546,688.22 : x
  2. Step 2: Convert to fraction form
    355,309.92/546,688.22 = 546,688.22/x
  3. Step 3: Cross multiply
    355,309.92x = 546,688.22 × 546,688.22
  4. Step 4: Simplify right side
    355,309.92x = 298,868,008,520.05
  5. Step 5: Solve for x
    x = 298,868,008,520.05/355,309.92
  6. Step 6: Final answer
    x = 841,147.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.