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Finding the Third Proportional to 514,254 and 770,889

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Solution

The third proportional to 514,254 and 770,889 is: 1,155,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,254 : 770,889 = 770,889 : x
  2. Step 2: Convert to fraction form
    514,254/770,889 = 770,889/x
  3. Step 3: Cross multiply
    514,254x = 770,889 × 770,889
  4. Step 4: Simplify right side
    514,254x = 594,269,850,321
  5. Step 5: Solve for x
    x = 594,269,850,321/514,254
  6. Step 6: Final answer
    x = 1,155,595.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.