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Finding the Third Proportional to 364,744 and 545,658

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Solution

The third proportional to 364,744 and 545,658 is: 816,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,744 : 545,658 = 545,658 : x
  2. Step 2: Convert to fraction form
    364,744/545,658 = 545,658/x
  3. Step 3: Cross multiply
    364,744x = 545,658 × 545,658
  4. Step 4: Simplify right side
    364,744x = 297,742,652,964
  5. Step 5: Solve for x
    x = 297,742,652,964/364,744
  6. Step 6: Final answer
    x = 816,305.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.