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Finding the Third Proportional to 264,156 and 515,076

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Solution

The third proportional to 264,156 and 515,076 is: 1,004,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,156 : 515,076 = 515,076 : x
  2. Step 2: Convert to fraction form
    264,156/515,076 = 515,076/x
  3. Step 3: Cross multiply
    264,156x = 515,076 × 515,076
  4. Step 4: Simplify right side
    264,156x = 265,303,285,776
  5. Step 5: Solve for x
    x = 265,303,285,776/264,156
  6. Step 6: Final answer
    x = 1,004,343.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.