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Finding the Third Proportional to 673,512.75 and 1,066,287.38

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Solution

The third proportional to 673,512.75 and 1,066,287.38 is: 1,688,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,512.75 : 1,066,287.38 = 1,066,287.38 : x
  2. Step 2: Convert to fraction form
    673,512.75/1,066,287.38 = 1,066,287.38/x
  3. Step 3: Cross multiply
    673,512.75x = 1,066,287.38 × 1,066,287.38
  4. Step 4: Simplify right side
    673,512.75x = 1,136,968,766,084.39
  5. Step 5: Solve for x
    x = 1,136,968,766,084.39/673,512.75
  6. Step 6: Final answer
    x = 1,688,117.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.