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Finding the Third Proportional to 551,005.19 and 851,072.93

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Solution

The third proportional to 551,005.19 and 851,072.93 is: 1,314,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,005.19 : 851,072.93 = 851,072.93 : x
  2. Step 2: Convert to fraction form
    551,005.19/851,072.93 = 851,072.93/x
  3. Step 3: Cross multiply
    551,005.19x = 851,072.93 × 851,072.93
  4. Step 4: Simplify right side
    551,005.19x = 724,325,136,633.64
  5. Step 5: Solve for x
    x = 724,325,136,633.64/551,005.19
  6. Step 6: Final answer
    x = 1,314,552.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.