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Finding the Third Proportional to 360,522 and 834,586

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Solution

The third proportional to 360,522 and 834,586 is: 1,932,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,522 : 834,586 = 834,586 : x
  2. Step 2: Convert to fraction form
    360,522/834,586 = 834,586/x
  3. Step 3: Cross multiply
    360,522x = 834,586 × 834,586
  4. Step 4: Simplify right side
    360,522x = 696,533,791,396
  5. Step 5: Solve for x
    x = 696,533,791,396/360,522
  6. Step 6: Final answer
    x = 1,932,014.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.