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Finding the Third Proportional to 466,652.81 and 997,275.38

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Solution

The third proportional to 466,652.81 and 997,275.38 is: 2,131,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,652.81 : 997,275.38 = 997,275.38 : x
  2. Step 2: Convert to fraction form
    466,652.81/997,275.38 = 997,275.38/x
  3. Step 3: Cross multiply
    466,652.81x = 997,275.38 × 997,275.38
  4. Step 4: Simplify right side
    466,652.81x = 994,558,173,581.39
  5. Step 5: Solve for x
    x = 994,558,173,581.39/466,652.81
  6. Step 6: Final answer
    x = 2,131,259.36

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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.