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Finding the Third Proportional to 576,328.50 and 926,004.75

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Solution

The third proportional to 576,328.50 and 926,004.75 is: 1,487,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,328.50 : 926,004.75 = 926,004.75 : x
  2. Step 2: Convert to fraction form
    576,328.50/926,004.75 = 926,004.75/x
  3. Step 3: Cross multiply
    576,328.50x = 926,004.75 × 926,004.75
  4. Step 4: Simplify right side
    576,328.50x = 857,484,797,022.56
  5. Step 5: Solve for x
    x = 857,484,797,022.56/576,328.50
  6. Step 6: Final answer
    x = 1,487,840.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.