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Finding the Third Proportional to 528,907.50 and 782,244

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Solution

The third proportional to 528,907.50 and 782,244 is: 1,156,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,907.50 : 782,244 = 782,244 : x
  2. Step 2: Convert to fraction form
    528,907.50/782,244 = 782,244/x
  3. Step 3: Cross multiply
    528,907.50x = 782,244 × 782,244
  4. Step 4: Simplify right side
    528,907.50x = 611,905,675,536
  5. Step 5: Solve for x
    x = 611,905,675,536/528,907.50
  6. Step 6: Final answer
    x = 1,156,923.80

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.