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Finding the Third Proportional to 539,621 and 779,598

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Solution

The third proportional to 539,621 and 779,598 is: 1,126,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,621 : 779,598 = 779,598 : x
  2. Step 2: Convert to fraction form
    539,621/779,598 = 779,598/x
  3. Step 3: Cross multiply
    539,621x = 779,598 × 779,598
  4. Step 4: Simplify right side
    539,621x = 607,773,041,604
  5. Step 5: Solve for x
    x = 607,773,041,604/539,621
  6. Step 6: Final answer
    x = 1,126,296.13

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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.