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Finding the Third Proportional to 364,776 and 545,706

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Solution

The third proportional to 364,776 and 545,706 is: 816,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,776 : 545,706 = 545,706 : x
  2. Step 2: Convert to fraction form
    364,776/545,706 = 545,706/x
  3. Step 3: Cross multiply
    364,776x = 545,706 × 545,706
  4. Step 4: Simplify right side
    364,776x = 297,795,038,436
  5. Step 5: Solve for x
    x = 297,795,038,436/364,776
  6. Step 6: Final answer
    x = 816,377.83

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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.