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Finding the Third Proportional to 462,099 and 677,128.50

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Solution

The third proportional to 462,099 and 677,128.50 is: 992,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,099 : 677,128.50 = 677,128.50 : x
  2. Step 2: Convert to fraction form
    462,099/677,128.50 = 677,128.50/x
  3. Step 3: Cross multiply
    462,099x = 677,128.50 × 677,128.50
  4. Step 4: Simplify right side
    462,099x = 458,503,005,512.25
  5. Step 5: Solve for x
    x = 458,503,005,512.25/462,099
  6. Step 6: Final answer
    x = 992,218.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.