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Finding the Third Proportional to 565,134 and 847,713

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Solution

The third proportional to 565,134 and 847,713 is: 1,271,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,134 : 847,713 = 847,713 : x
  2. Step 2: Convert to fraction form
    565,134/847,713 = 847,713/x
  3. Step 3: Cross multiply
    565,134x = 847,713 × 847,713
  4. Step 4: Simplify right side
    565,134x = 718,617,330,369
  5. Step 5: Solve for x
    x = 718,617,330,369/565,134
  6. Step 6: Final answer
    x = 1,271,587.50

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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.