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Finding the Third Proportional to 568,257 and 882,265.50

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Solution

The third proportional to 568,257 and 882,265.50 is: 1,369,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,257 : 882,265.50 = 882,265.50 : x
  2. Step 2: Convert to fraction form
    568,257/882,265.50 = 882,265.50/x
  3. Step 3: Cross multiply
    568,257x = 882,265.50 × 882,265.50
  4. Step 4: Simplify right side
    568,257x = 778,392,412,490.25
  5. Step 5: Solve for x
    x = 778,392,412,490.25/568,257
  6. Step 6: Final answer
    x = 1,369,789.40

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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.