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Finding the Third Proportional to 683,167.50 and 1,020,988.13

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Solution

The third proportional to 683,167.50 and 1,020,988.13 is: 1,525,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,167.50 : 1,020,988.13 = 1,020,988.13 : x
  2. Step 2: Convert to fraction form
    683,167.50/1,020,988.13 = 1,020,988.13/x
  3. Step 3: Cross multiply
    683,167.50x = 1,020,988.13 × 1,020,988.13
  4. Step 4: Simplify right side
    683,167.50x = 1,042,416,751,391.02
  5. Step 5: Solve for x
    x = 1,042,416,751,391.02/683,167.50
  6. Step 6: Final answer
    x = 1,525,858.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.