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Finding the Third Proportional to 364,752 and 545,670

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Solution

The third proportional to 364,752 and 545,670 is: 816,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,752 : 545,670 = 545,670 : x
  2. Step 2: Convert to fraction form
    364,752/545,670 = 545,670/x
  3. Step 3: Cross multiply
    364,752x = 545,670 × 545,670
  4. Step 4: Simplify right side
    364,752x = 297,755,748,900
  5. Step 5: Solve for x
    x = 297,755,748,900/364,752
  6. Step 6: Final answer
    x = 816,323.83

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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.