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Finding the Third Proportional to 497,742 and 768,615

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Solution

The third proportional to 497,742 and 768,615 is: 1,186,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,742 : 768,615 = 768,615 : x
  2. Step 2: Convert to fraction form
    497,742/768,615 = 768,615/x
  3. Step 3: Cross multiply
    497,742x = 768,615 × 768,615
  4. Step 4: Simplify right side
    497,742x = 590,769,018,225
  5. Step 5: Solve for x
    x = 590,769,018,225/497,742
  6. Step 6: Final answer
    x = 1,186,898.07

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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.