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Finding the Third Proportional to 563,124 and 872,678

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Solution

The third proportional to 563,124 and 872,678 is: 1,352,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,124 : 872,678 = 872,678 : x
  2. Step 2: Convert to fraction form
    563,124/872,678 = 872,678/x
  3. Step 3: Cross multiply
    563,124x = 872,678 × 872,678
  4. Step 4: Simplify right side
    563,124x = 761,566,891,684
  5. Step 5: Solve for x
    x = 761,566,891,684/563,124
  6. Step 6: Final answer
    x = 1,352,396.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.