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Finding the Third Proportional to 347,113.50 and 760,626

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Solution

The third proportional to 347,113.50 and 760,626 is: 1,666,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,113.50 : 760,626 = 760,626 : x
  2. Step 2: Convert to fraction form
    347,113.50/760,626 = 760,626/x
  3. Step 3: Cross multiply
    347,113.50x = 760,626 × 760,626
  4. Step 4: Simplify right side
    347,113.50x = 578,551,911,876
  5. Step 5: Solve for x
    x = 578,551,911,876/347,113.50
  6. Step 6: Final answer
    x = 1,666,751.40

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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.