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Finding the Third Proportional to 431,385.75 and 940,632.12

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Solution

The third proportional to 431,385.75 and 940,632.12 is: 2,051,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,385.75 : 940,632.12 = 940,632.12 : x
  2. Step 2: Convert to fraction form
    431,385.75/940,632.12 = 940,632.12/x
  3. Step 3: Cross multiply
    431,385.75x = 940,632.12 × 940,632.12
  4. Step 4: Simplify right side
    431,385.75x = 884,788,779,884.64
  5. Step 5: Solve for x
    x = 884,788,779,884.64/431,385.75
  6. Step 6: Final answer
    x = 2,051,038.50

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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.