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Finding the Third Proportional to 564,030 and 873,774

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Solution

The third proportional to 564,030 and 873,774 is: 1,353,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,030 : 873,774 = 873,774 : x
  2. Step 2: Convert to fraction form
    564,030/873,774 = 873,774/x
  3. Step 3: Cross multiply
    564,030x = 873,774 × 873,774
  4. Step 4: Simplify right side
    564,030x = 763,481,003,076
  5. Step 5: Solve for x
    x = 763,481,003,076/564,030
  6. Step 6: Final answer
    x = 1,353,617.72

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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.