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Finding the Third Proportional to 685,489.50 and 1,094,654.25

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Solution

The third proportional to 685,489.50 and 1,094,654.25 is: 1,748,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,489.50 : 1,094,654.25 = 1,094,654.25 : x
  2. Step 2: Convert to fraction form
    685,489.50/1,094,654.25 = 1,094,654.25/x
  3. Step 3: Cross multiply
    685,489.50x = 1,094,654.25 × 1,094,654.25
  4. Step 4: Simplify right side
    685,489.50x = 1,198,267,927,043.06
  5. Step 5: Solve for x
    x = 1,198,267,927,043.06/685,489.50
  6. Step 6: Final answer
    x = 1,748,047.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.