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Finding the Third Proportional to 688,975.69 and 1,034,150.44

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Solution

The third proportional to 688,975.69 and 1,034,150.44 is: 1,552,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,975.69 : 1,034,150.44 = 1,034,150.44 : x
  2. Step 2: Convert to fraction form
    688,975.69/1,034,150.44 = 1,034,150.44/x
  3. Step 3: Cross multiply
    688,975.69x = 1,034,150.44 × 1,034,150.44
  4. Step 4: Simplify right side
    688,975.69x = 1,069,467,127,381.44
  5. Step 5: Solve for x
    x = 1,069,467,127,381.44/688,975.69
  6. Step 6: Final answer
    x = 1,552,256.70

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