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Finding the Third Proportional to 563,762 and 873,507

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Solution

The third proportional to 563,762 and 873,507 is: 1,353,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,762 : 873,507 = 873,507 : x
  2. Step 2: Convert to fraction form
    563,762/873,507 = 873,507/x
  3. Step 3: Cross multiply
    563,762x = 873,507 × 873,507
  4. Step 4: Simplify right side
    563,762x = 763,014,479,049
  5. Step 5: Solve for x
    x = 763,014,479,049/563,762
  6. Step 6: Final answer
    x = 1,353,433.68

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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.