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Finding the Third Proportional to 390,437.72 and 791,742.09

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Solution

The third proportional to 390,437.72 and 791,742.09 is: 1,605,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,437.72 : 791,742.09 = 791,742.09 : x
  2. Step 2: Convert to fraction form
    390,437.72/791,742.09 = 791,742.09/x
  3. Step 3: Cross multiply
    390,437.72x = 791,742.09 × 791,742.09
  4. Step 4: Simplify right side
    390,437.72x = 626,855,543,015.63
  5. Step 5: Solve for x
    x = 626,855,543,015.63/390,437.72
  6. Step 6: Final answer
    x = 1,605,519.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.