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Finding the Third Proportional to 524,657.25 and 786,970.69

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Solution

The third proportional to 524,657.25 and 786,970.69 is: 1,180,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,657.25 : 786,970.69 = 786,970.69 : x
  2. Step 2: Convert to fraction form
    524,657.25/786,970.69 = 786,970.69/x
  3. Step 3: Cross multiply
    524,657.25x = 786,970.69 × 786,970.69
  4. Step 4: Simplify right side
    524,657.25x = 619,322,862,984.22
  5. Step 5: Solve for x
    x = 619,322,862,984.22/524,657.25
  6. Step 6: Final answer
    x = 1,180,433.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.