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Finding the Third Proportional to 345,699 and 755,574

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Solution

The third proportional to 345,699 and 755,574 is: 1,651,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,699 : 755,574 = 755,574 : x
  2. Step 2: Convert to fraction form
    345,699/755,574 = 755,574/x
  3. Step 3: Cross multiply
    345,699x = 755,574 × 755,574
  4. Step 4: Simplify right side
    345,699x = 570,892,069,476
  5. Step 5: Solve for x
    x = 570,892,069,476/345,699
  6. Step 6: Final answer
    x = 1,651,413.71

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