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Finding the Third Proportional to 355,707 and 546,682.50

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Solution

The third proportional to 355,707 and 546,682.50 is: 840,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,707 : 546,682.50 = 546,682.50 : x
  2. Step 2: Convert to fraction form
    355,707/546,682.50 = 546,682.50/x
  3. Step 3: Cross multiply
    355,707x = 546,682.50 × 546,682.50
  4. Step 4: Simplify right side
    355,707x = 298,861,755,806.25
  5. Step 5: Solve for x
    x = 298,861,755,806.25/355,707
  6. Step 6: Final answer
    x = 840,190.82

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