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Finding the Third Proportional to 361,315.69 and 786,975.75

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Solution

The third proportional to 361,315.69 and 786,975.75 is: 1,714,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,315.69 : 786,975.75 = 786,975.75 : x
  2. Step 2: Convert to fraction form
    361,315.69/786,975.75 = 786,975.75/x
  3. Step 3: Cross multiply
    361,315.69x = 786,975.75 × 786,975.75
  4. Step 4: Simplify right side
    361,315.69x = 619,330,831,088.06
  5. Step 5: Solve for x
    x = 619,330,831,088.06/361,315.69
  6. Step 6: Final answer
    x = 1,714,098.92

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Why These Related Problems?

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