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Finding the Third Proportional to 529,576 and 740,796

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Solution

The third proportional to 529,576 and 740,796 is: 1,036,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,576 : 740,796 = 740,796 : x
  2. Step 2: Convert to fraction form
    529,576/740,796 = 740,796/x
  3. Step 3: Cross multiply
    529,576x = 740,796 × 740,796
  4. Step 4: Simplify right side
    529,576x = 548,778,713,616
  5. Step 5: Solve for x
    x = 548,778,713,616/529,576
  6. Step 6: Final answer
    x = 1,036,260.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.