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Finding the Third Proportional to 600,415.88 and 912,996.56

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Solution

The third proportional to 600,415.88 and 912,996.56 is: 1,388,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,415.88 : 912,996.56 = 912,996.56 : x
  2. Step 2: Convert to fraction form
    600,415.88/912,996.56 = 912,996.56/x
  3. Step 3: Cross multiply
    600,415.88x = 912,996.56 × 912,996.56
  4. Step 4: Simplify right side
    600,415.88x = 833,562,723,136.82
  5. Step 5: Solve for x
    x = 833,562,723,136.82/600,415.88
  6. Step 6: Final answer
    x = 1,388,308.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.