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Finding the Third Proportional to 231,036 and 465,506

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Solution

The third proportional to 231,036 and 465,506 is: 937,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,036 : 465,506 = 465,506 : x
  2. Step 2: Convert to fraction form
    231,036/465,506 = 465,506/x
  3. Step 3: Cross multiply
    231,036x = 465,506 × 465,506
  4. Step 4: Simplify right side
    231,036x = 216,695,836,036
  5. Step 5: Solve for x
    x = 216,695,836,036/231,036
  6. Step 6: Final answer
    x = 937,931.04

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.