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Finding the Third Proportional to 265,260 and 542,776

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Solution

The third proportional to 265,260 and 542,776 is: 1,110,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,260 : 542,776 = 542,776 : x
  2. Step 2: Convert to fraction form
    265,260/542,776 = 542,776/x
  3. Step 3: Cross multiply
    265,260x = 542,776 × 542,776
  4. Step 4: Simplify right side
    265,260x = 294,605,786,176
  5. Step 5: Solve for x
    x = 294,605,786,176/265,260
  6. Step 6: Final answer
    x = 1,110,630.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.