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Finding the Third Proportional to 364,792 and 545,730

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Solution

The third proportional to 364,792 and 545,730 is: 816,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,792 : 545,730 = 545,730 : x
  2. Step 2: Convert to fraction form
    364,792/545,730 = 545,730/x
  3. Step 3: Cross multiply
    364,792x = 545,730 × 545,730
  4. Step 4: Simplify right side
    364,792x = 297,821,232,900
  5. Step 5: Solve for x
    x = 297,821,232,900/364,792
  6. Step 6: Final answer
    x = 816,413.83

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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.