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Finding the Third Proportional to 234,117 and 513,803

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Solution

The third proportional to 234,117 and 513,803 is: 1,127,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,117 : 513,803 = 513,803 : x
  2. Step 2: Convert to fraction form
    234,117/513,803 = 513,803/x
  3. Step 3: Cross multiply
    234,117x = 513,803 × 513,803
  4. Step 4: Simplify right side
    234,117x = 263,993,522,809
  5. Step 5: Solve for x
    x = 263,993,522,809/234,117
  6. Step 6: Final answer
    x = 1,127,613.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.