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Finding the Third Proportional to 514,998 and 769,575

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Solution

The third proportional to 514,998 and 769,575 is: 1,149,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,998 : 769,575 = 769,575 : x
  2. Step 2: Convert to fraction form
    514,998/769,575 = 769,575/x
  3. Step 3: Cross multiply
    514,998x = 769,575 × 769,575
  4. Step 4: Simplify right side
    514,998x = 592,245,680,625
  5. Step 5: Solve for x
    x = 592,245,680,625/514,998
  6. Step 6: Final answer
    x = 1,149,996.08

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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.