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Finding the Third Proportional to 435,580.70 and 934,216.53

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Solution

The third proportional to 435,580.70 and 934,216.53 is: 2,003,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,580.70 : 934,216.53 = 934,216.53 : x
  2. Step 2: Convert to fraction form
    435,580.70/934,216.53 = 934,216.53/x
  3. Step 3: Cross multiply
    435,580.70x = 934,216.53 × 934,216.53
  4. Step 4: Simplify right side
    435,580.70x = 872,760,516,769.12
  5. Step 5: Solve for x
    x = 872,760,516,769.12/435,580.70
  6. Step 6: Final answer
    x = 2,003,671.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.