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Finding the Third Proportional to 565,115 and 847,674

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Solution

The third proportional to 565,115 and 847,674 is: 1,271,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,115 : 847,674 = 847,674 : x
  2. Step 2: Convert to fraction form
    565,115/847,674 = 847,674/x
  3. Step 3: Cross multiply
    565,115x = 847,674 × 847,674
  4. Step 4: Simplify right side
    565,115x = 718,551,210,276
  5. Step 5: Solve for x
    x = 718,551,210,276/565,115
  6. Step 6: Final answer
    x = 1,271,513.25

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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.