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Finding the Third Proportional to 565,113 and 847,671

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Solution

The third proportional to 565,113 and 847,671 is: 1,271,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,113 : 847,671 = 847,671 : x
  2. Step 2: Convert to fraction form
    565,113/847,671 = 847,671/x
  3. Step 3: Cross multiply
    565,113x = 847,671 × 847,671
  4. Step 4: Simplify right side
    565,113x = 718,546,124,241
  5. Step 5: Solve for x
    x = 718,546,124,241/565,113
  6. Step 6: Final answer
    x = 1,271,508.75

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