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Finding the Third Proportional to 565,218 and 849,042

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Solution

The third proportional to 565,218 and 849,042 is: 1,275,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,218 : 849,042 = 849,042 : x
  2. Step 2: Convert to fraction form
    565,218/849,042 = 849,042/x
  3. Step 3: Cross multiply
    565,218x = 849,042 × 849,042
  4. Step 4: Simplify right side
    565,218x = 720,872,317,764
  5. Step 5: Solve for x
    x = 720,872,317,764/565,218
  6. Step 6: Final answer
    x = 1,275,388.11

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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.