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Finding the Third Proportional to 530,741 and 780,451

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Solution

The third proportional to 530,741 and 780,451 is: 1,147,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,741 : 780,451 = 780,451 : x
  2. Step 2: Convert to fraction form
    530,741/780,451 = 780,451/x
  3. Step 3: Cross multiply
    530,741x = 780,451 × 780,451
  4. Step 4: Simplify right side
    530,741x = 609,103,763,401
  5. Step 5: Solve for x
    x = 609,103,763,401/530,741
  6. Step 6: Final answer
    x = 1,147,647.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.