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Finding the Third Proportional to 364,749 and 545,664

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Solution

The third proportional to 364,749 and 545,664 is: 816,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,749 : 545,664 = 545,664 : x
  2. Step 2: Convert to fraction form
    364,749/545,664 = 545,664/x
  3. Step 3: Cross multiply
    364,749x = 545,664 × 545,664
  4. Step 4: Simplify right side
    364,749x = 297,749,200,896
  5. Step 5: Solve for x
    x = 297,749,200,896/364,749
  6. Step 6: Final answer
    x = 816,312.59

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