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Finding the Third Proportional to 345,300.75 and 523,282.50

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Solution

The third proportional to 345,300.75 and 523,282.50 is: 793,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,300.75 : 523,282.50 = 523,282.50 : x
  2. Step 2: Convert to fraction form
    345,300.75/523,282.50 = 523,282.50/x
  3. Step 3: Cross multiply
    345,300.75x = 523,282.50 × 523,282.50
  4. Step 4: Simplify right side
    345,300.75x = 273,824,574,806.25
  5. Step 5: Solve for x
    x = 273,824,574,806.25/345,300.75
  6. Step 6: Final answer
    x = 793,003.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.