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Finding the Third Proportional to 250,569 and 362,029.50

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Solution

The third proportional to 250,569 and 362,029.50 is: 523,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,569 : 362,029.50 = 362,029.50 : x
  2. Step 2: Convert to fraction form
    250,569/362,029.50 = 362,029.50/x
  3. Step 3: Cross multiply
    250,569x = 362,029.50 × 362,029.50
  4. Step 4: Simplify right side
    250,569x = 131,065,358,870.25
  5. Step 5: Solve for x
    x = 131,065,358,870.25/250,569
  6. Step 6: Final answer
    x = 523,070.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.