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Finding the Third Proportional to 476,269.50 and 725,570.50

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Solution

The third proportional to 476,269.50 and 725,570.50 is: 1,105,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,269.50 : 725,570.50 = 725,570.50 : x
  2. Step 2: Convert to fraction form
    476,269.50/725,570.50 = 725,570.50/x
  3. Step 3: Cross multiply
    476,269.50x = 725,570.50 × 725,570.50
  4. Step 4: Simplify right side
    476,269.50x = 526,452,550,470.25
  5. Step 5: Solve for x
    x = 526,452,550,470.25/476,269.50
  6. Step 6: Final answer
    x = 1,105,366.92

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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.