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Finding the Third Proportional to 568,254 and 882,261

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Solution

The third proportional to 568,254 and 882,261 is: 1,369,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,254 : 882,261 = 882,261 : x
  2. Step 2: Convert to fraction form
    568,254/882,261 = 882,261/x
  3. Step 3: Cross multiply
    568,254x = 882,261 × 882,261
  4. Step 4: Simplify right side
    568,254x = 778,384,472,121
  5. Step 5: Solve for x
    x = 778,384,472,121/568,254
  6. Step 6: Final answer
    x = 1,369,782.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.