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Finding the Third Proportional to 510,549 and 847,958

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Solution

The third proportional to 510,549 and 847,958 is: 1,408,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,549 : 847,958 = 847,958 : x
  2. Step 2: Convert to fraction form
    510,549/847,958 = 847,958/x
  3. Step 3: Cross multiply
    510,549x = 847,958 × 847,958
  4. Step 4: Simplify right side
    510,549x = 719,032,769,764
  5. Step 5: Solve for x
    x = 719,032,769,764/510,549
  6. Step 6: Final answer
    x = 1,408,352.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.