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Finding the Third Proportional to 492,068.25 and 803,499.75

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Solution

The third proportional to 492,068.25 and 803,499.75 is: 1,312,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,068.25 : 803,499.75 = 803,499.75 : x
  2. Step 2: Convert to fraction form
    492,068.25/803,499.75 = 803,499.75/x
  3. Step 3: Cross multiply
    492,068.25x = 803,499.75 × 803,499.75
  4. Step 4: Simplify right side
    492,068.25x = 645,611,848,250.06
  5. Step 5: Solve for x
    x = 645,611,848,250.06/492,068.25
  6. Step 6: Final answer
    x = 1,312,037.20

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