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Finding the Third Proportional to 462,775.50 and 699,094.13

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Solution

The third proportional to 462,775.50 and 699,094.13 is: 1,056,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,775.50 : 699,094.13 = 699,094.13 : x
  2. Step 2: Convert to fraction form
    462,775.50/699,094.13 = 699,094.13/x
  3. Step 3: Cross multiply
    462,775.50x = 699,094.13 × 699,094.13
  4. Step 4: Simplify right side
    462,775.50x = 488,732,595,609.52
  5. Step 5: Solve for x
    x = 488,732,595,609.52/462,775.50
  6. Step 6: Final answer
    x = 1,056,090.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.