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Finding the Third Proportional to 240,379.13 and 525,409.13

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Solution

The third proportional to 240,379.13 and 525,409.13 is: 1,148,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,379.13 : 525,409.13 = 525,409.13 : x
  2. Step 2: Convert to fraction form
    240,379.13/525,409.13 = 525,409.13/x
  3. Step 3: Cross multiply
    240,379.13x = 525,409.13 × 525,409.13
  4. Step 4: Simplify right side
    240,379.13x = 276,054,748,633.27
  5. Step 5: Solve for x
    x = 276,054,748,633.27/240,379.13
  6. Step 6: Final answer
    x = 1,148,413.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.