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Finding the Third Proportional to 645,097.50 and 902,277

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Solution

The third proportional to 645,097.50 and 902,277 is: 1,261,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,097.50 : 902,277 = 902,277 : x
  2. Step 2: Convert to fraction form
    645,097.50/902,277 = 902,277/x
  3. Step 3: Cross multiply
    645,097.50x = 902,277 × 902,277
  4. Step 4: Simplify right side
    645,097.50x = 814,103,784,729
  5. Step 5: Solve for x
    x = 814,103,784,729/645,097.50
  6. Step 6: Final answer
    x = 1,261,985.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.