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Finding the Third Proportional to 492,014.44 and 803,415.28

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Solution

The third proportional to 492,014.44 and 803,415.28 is: 1,311,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,014.44 : 803,415.28 = 803,415.28 : x
  2. Step 2: Convert to fraction form
    492,014.44/803,415.28 = 803,415.28/x
  3. Step 3: Cross multiply
    492,014.44x = 803,415.28 × 803,415.28
  4. Step 4: Simplify right side
    492,014.44x = 645,476,114,146.02
  5. Step 5: Solve for x
    x = 645,476,114,146.02/492,014.44
  6. Step 6: Final answer
    x = 1,311,904.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.