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Finding the Third Proportional to 551,277 and 830,128.50

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Solution

The third proportional to 551,277 and 830,128.50 is: 1,250,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,277 : 830,128.50 = 830,128.50 : x
  2. Step 2: Convert to fraction form
    551,277/830,128.50 = 830,128.50/x
  3. Step 3: Cross multiply
    551,277x = 830,128.50 × 830,128.50
  4. Step 4: Simplify right side
    551,277x = 689,113,326,512.25
  5. Step 5: Solve for x
    x = 689,113,326,512.25/551,277
  6. Step 6: Final answer
    x = 1,250,030.98

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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.