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Finding the Third Proportional to 429,807.75 and 934,243.50

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Solution

The third proportional to 429,807.75 and 934,243.50 is: 2,030,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,807.75 : 934,243.50 = 934,243.50 : x
  2. Step 2: Convert to fraction form
    429,807.75/934,243.50 = 934,243.50/x
  3. Step 3: Cross multiply
    429,807.75x = 934,243.50 × 934,243.50
  4. Step 4: Simplify right side
    429,807.75x = 872,810,917,292.25
  5. Step 5: Solve for x
    x = 872,810,917,292.25/429,807.75
  6. Step 6: Final answer
    x = 2,030,700.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.