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Finding the Third Proportional to 264,194 and 651,557

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Solution

The third proportional to 264,194 and 651,557 is: 1,606,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,194 : 651,557 = 651,557 : x
  2. Step 2: Convert to fraction form
    264,194/651,557 = 651,557/x
  3. Step 3: Cross multiply
    264,194x = 651,557 × 651,557
  4. Step 4: Simplify right side
    264,194x = 424,526,524,249
  5. Step 5: Solve for x
    x = 424,526,524,249/264,194
  6. Step 6: Final answer
    x = 1,606,874.21

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.