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Finding the Third Proportional to 519,396 and 777,030

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Solution

The third proportional to 519,396 and 777,030 is: 1,162,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,396 : 777,030 = 777,030 : x
  2. Step 2: Convert to fraction form
    519,396/777,030 = 777,030/x
  3. Step 3: Cross multiply
    519,396x = 777,030 × 777,030
  4. Step 4: Simplify right side
    519,396x = 603,775,620,900
  5. Step 5: Solve for x
    x = 603,775,620,900/519,396
  6. Step 6: Final answer
    x = 1,162,457.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.