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Finding the Third Proportional to 568,780 and 856,776

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Solution

The third proportional to 568,780 and 856,776 is: 1,290,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,780 : 856,776 = 856,776 : x
  2. Step 2: Convert to fraction form
    568,780/856,776 = 856,776/x
  3. Step 3: Cross multiply
    568,780x = 856,776 × 856,776
  4. Step 4: Simplify right side
    568,780x = 734,065,114,176
  5. Step 5: Solve for x
    x = 734,065,114,176/568,780
  6. Step 6: Final answer
    x = 1,290,595.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.