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Finding the Third Proportional to 563,964 and 873,810

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Solution

The third proportional to 563,964 and 873,810 is: 1,353,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,964 : 873,810 = 873,810 : x
  2. Step 2: Convert to fraction form
    563,964/873,810 = 873,810/x
  3. Step 3: Cross multiply
    563,964x = 873,810 × 873,810
  4. Step 4: Simplify right side
    563,964x = 763,543,916,100
  5. Step 5: Solve for x
    x = 763,543,916,100/563,964
  6. Step 6: Final answer
    x = 1,353,887.69

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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.