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Finding the Third Proportional to 520,751 and 811,572

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Solution

The third proportional to 520,751 and 811,572 is: 1,264,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,751 : 811,572 = 811,572 : x
  2. Step 2: Convert to fraction form
    520,751/811,572 = 811,572/x
  3. Step 3: Cross multiply
    520,751x = 811,572 × 811,572
  4. Step 4: Simplify right side
    520,751x = 658,649,111,184
  5. Step 5: Solve for x
    x = 658,649,111,184/520,751
  6. Step 6: Final answer
    x = 1,264,806.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.