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Finding the Third Proportional to 361,300.50 and 786,970.69

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Solution

The third proportional to 361,300.50 and 786,970.69 is: 1,714,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,300.50 : 786,970.69 = 786,970.69 : x
  2. Step 2: Convert to fraction form
    361,300.50/786,970.69 = 786,970.69/x
  3. Step 3: Cross multiply
    361,300.50x = 786,970.69 × 786,970.69
  4. Step 4: Simplify right side
    361,300.50x = 619,322,862,984.22
  5. Step 5: Solve for x
    x = 619,322,862,984.22/361,300.50
  6. Step 6: Final answer
    x = 1,714,148.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.