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Finding the Third Proportional to 516,323 and 743,650

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Solution

The third proportional to 516,323 and 743,650 is: 1,071,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,323 : 743,650 = 743,650 : x
  2. Step 2: Convert to fraction form
    516,323/743,650 = 743,650/x
  3. Step 3: Cross multiply
    516,323x = 743,650 × 743,650
  4. Step 4: Simplify right side
    516,323x = 553,015,322,500
  5. Step 5: Solve for x
    x = 553,015,322,500/516,323
  6. Step 6: Final answer
    x = 1,071,064.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.