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Finding the Third Proportional to 492,037.88 and 803,459.25

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Solution

The third proportional to 492,037.88 and 803,459.25 is: 1,311,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,037.88 : 803,459.25 = 803,459.25 : x
  2. Step 2: Convert to fraction form
    492,037.88/803,459.25 = 803,459.25/x
  3. Step 3: Cross multiply
    492,037.88x = 803,459.25 × 803,459.25
  4. Step 4: Simplify right side
    492,037.88x = 645,546,766,410.56
  5. Step 5: Solve for x
    x = 645,546,766,410.56/492,037.88
  6. Step 6: Final answer
    x = 1,311,985.92

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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.