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Finding the Third Proportional to 751,045.50 and 1,152,812.25

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Solution

The third proportional to 751,045.50 and 1,152,812.25 is: 1,769,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,045.50 : 1,152,812.25 = 1,152,812.25 : x
  2. Step 2: Convert to fraction form
    751,045.50/1,152,812.25 = 1,152,812.25/x
  3. Step 3: Cross multiply
    751,045.50x = 1,152,812.25 × 1,152,812.25
  4. Step 4: Simplify right side
    751,045.50x = 1,328,976,083,750.06
  5. Step 5: Solve for x
    x = 1,328,976,083,750.06/751,045.50
  6. Step 6: Final answer
    x = 1,769,501.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.