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Finding the Third Proportional to 539,592 and 779,553

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Solution

The third proportional to 539,592 and 779,553 is: 1,126,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,592 : 779,553 = 779,553 : x
  2. Step 2: Convert to fraction form
    539,592/779,553 = 779,553/x
  3. Step 3: Cross multiply
    539,592x = 779,553 × 779,553
  4. Step 4: Simplify right side
    539,592x = 607,702,879,809
  5. Step 5: Solve for x
    x = 607,702,879,809/539,592
  6. Step 6: Final answer
    x = 1,126,226.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.