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Finding the Third Proportional to 551,251 and 830,083.75

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Solution

The third proportional to 551,251 and 830,083.75 is: 1,249,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,251 : 830,083.75 = 830,083.75 : x
  2. Step 2: Convert to fraction form
    551,251/830,083.75 = 830,083.75/x
  3. Step 3: Cross multiply
    551,251x = 830,083.75 × 830,083.75
  4. Step 4: Simplify right side
    551,251x = 689,039,032,014.06
  5. Step 5: Solve for x
    x = 689,039,032,014.06/551,251
  6. Step 6: Final answer
    x = 1,249,955.16

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Why These Related Problems?

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