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Finding the Third Proportional to 719,478 and 1,039,432.50

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Solution

The third proportional to 719,478 and 1,039,432.50 is: 1,501,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,478 : 1,039,432.50 = 1,039,432.50 : x
  2. Step 2: Convert to fraction form
    719,478/1,039,432.50 = 1,039,432.50/x
  3. Step 3: Cross multiply
    719,478x = 1,039,432.50 × 1,039,432.50
  4. Step 4: Simplify right side
    719,478x = 1,080,419,922,056.25
  5. Step 5: Solve for x
    x = 1,080,419,922,056.25/719,478
  6. Step 6: Final answer
    x = 1,501,671.94

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Why These Related Problems?

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