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Finding the Third Proportional to 347,491.69 and 761,413.50

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Solution

The third proportional to 347,491.69 and 761,413.50 is: 1,668,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,491.69 : 761,413.50 = 761,413.50 : x
  2. Step 2: Convert to fraction form
    347,491.69/761,413.50 = 761,413.50/x
  3. Step 3: Cross multiply
    347,491.69x = 761,413.50 × 761,413.50
  4. Step 4: Simplify right side
    347,491.69x = 579,750,517,982.25
  5. Step 5: Solve for x
    x = 579,750,517,982.25/347,491.69
  6. Step 6: Final answer
    x = 1,668,386.72

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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.