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Finding the Third Proportional to 269,001 and 607,302.56

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Solution

The third proportional to 269,001 and 607,302.56 is: 1,371,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,001 : 607,302.56 = 607,302.56 : x
  2. Step 2: Convert to fraction form
    269,001/607,302.56 = 607,302.56/x
  3. Step 3: Cross multiply
    269,001x = 607,302.56 × 607,302.56
  4. Step 4: Simplify right side
    269,001x = 368,816,402,419.07
  5. Step 5: Solve for x
    x = 368,816,402,419.07/269,001
  6. Step 6: Final answer
    x = 1,371,059.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.