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Finding the Third Proportional to 263,046 and 570,780

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Solution

The third proportional to 263,046 and 570,780 is: 1,238,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,046 : 570,780 = 570,780 : x
  2. Step 2: Convert to fraction form
    263,046/570,780 = 570,780/x
  3. Step 3: Cross multiply
    263,046x = 570,780 × 570,780
  4. Step 4: Simplify right side
    263,046x = 325,789,808,400
  5. Step 5: Solve for x
    x = 325,789,808,400/263,046
  6. Step 6: Final answer
    x = 1,238,527.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.