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Finding the Third Proportional to 245,565 and 527,011

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Solution

The third proportional to 245,565 and 527,011 is: 1,131,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,565 : 527,011 = 527,011 : x
  2. Step 2: Convert to fraction form
    245,565/527,011 = 527,011/x
  3. Step 3: Cross multiply
    245,565x = 527,011 × 527,011
  4. Step 4: Simplify right side
    245,565x = 277,740,594,121
  5. Step 5: Solve for x
    x = 277,740,594,121/245,565
  6. Step 6: Final answer
    x = 1,131,026.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.