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Finding the Third Proportional to 568,260 and 882,270

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Solution

The third proportional to 568,260 and 882,270 is: 1,369,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,260 : 882,270 = 882,270 : x
  2. Step 2: Convert to fraction form
    568,260/882,270 = 882,270/x
  3. Step 3: Cross multiply
    568,260x = 882,270 × 882,270
  4. Step 4: Simplify right side
    568,260x = 778,400,352,900
  5. Step 5: Solve for x
    x = 778,400,352,900/568,260
  6. Step 6: Final answer
    x = 1,369,796.14

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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.