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Finding the Third Proportional to 360,725 and 560,735.50

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Solution

The third proportional to 360,725 and 560,735.50 is: 871,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,725 : 560,735.50 = 560,735.50 : x
  2. Step 2: Convert to fraction form
    360,725/560,735.50 = 560,735.50/x
  3. Step 3: Cross multiply
    360,725x = 560,735.50 × 560,735.50
  4. Step 4: Simplify right side
    360,725x = 314,424,300,960.25
  5. Step 5: Solve for x
    x = 314,424,300,960.25/360,725
  6. Step 6: Final answer
    x = 871,645.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.