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Finding the Third Proportional to 452,566.13 and 623,413.69

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Solution

The third proportional to 452,566.13 and 623,413.69 is: 858,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,566.13 : 623,413.69 = 623,413.69 : x
  2. Step 2: Convert to fraction form
    452,566.13/623,413.69 = 623,413.69/x
  3. Step 3: Cross multiply
    452,566.13x = 623,413.69 × 623,413.69
  4. Step 4: Simplify right side
    452,566.13x = 388,644,625,762.35
  5. Step 5: Solve for x
    x = 388,644,625,762.35/452,566.13
  6. Step 6: Final answer
    x = 858,757.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.