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Finding the Third Proportional to 525,975 and 744,250.50

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Solution

The third proportional to 525,975 and 744,250.50 is: 1,053,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,975 : 744,250.50 = 744,250.50 : x
  2. Step 2: Convert to fraction form
    525,975/744,250.50 = 744,250.50/x
  3. Step 3: Cross multiply
    525,975x = 744,250.50 × 744,250.50
  4. Step 4: Simplify right side
    525,975x = 553,908,806,750.25
  5. Step 5: Solve for x
    x = 553,908,806,750.25/525,975
  6. Step 6: Final answer
    x = 1,053,108.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.