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Finding the Third Proportional to 525,285 and 780,273

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Solution

The third proportional to 525,285 and 780,273 is: 1,159,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,285 : 780,273 = 780,273 : x
  2. Step 2: Convert to fraction form
    525,285/780,273 = 780,273/x
  3. Step 3: Cross multiply
    525,285x = 780,273 × 780,273
  4. Step 4: Simplify right side
    525,285x = 608,825,954,529
  5. Step 5: Solve for x
    x = 608,825,954,529/525,285
  6. Step 6: Final answer
    x = 1,159,039.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.