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Finding the Third Proportional to 487,311.19 and 749,996.44

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Solution

The third proportional to 487,311.19 and 749,996.44 is: 1,154,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,311.19 : 749,996.44 = 749,996.44 : x
  2. Step 2: Convert to fraction form
    487,311.19/749,996.44 = 749,996.44/x
  3. Step 3: Cross multiply
    487,311.19x = 749,996.44 × 749,996.44
  4. Step 4: Simplify right side
    487,311.19x = 562,494,656,262.69
  5. Step 5: Solve for x
    x = 562,494,656,262.69/487,311.19
  6. Step 6: Final answer
    x = 1,154,282.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.