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Finding the Third Proportional to 531,675.56 and 794,039.63

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Solution

The third proportional to 531,675.56 and 794,039.63 is: 1,185,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,675.56 : 794,039.63 = 794,039.63 : x
  2. Step 2: Convert to fraction form
    531,675.56/794,039.63 = 794,039.63/x
  3. Step 3: Cross multiply
    531,675.56x = 794,039.63 × 794,039.63
  4. Step 4: Simplify right side
    531,675.56x = 630,498,926,070.14
  5. Step 5: Solve for x
    x = 630,498,926,070.14/531,675.56
  6. Step 6: Final answer
    x = 1,185,871.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.