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Finding the Third Proportional to 607,273.50 and 907,564.50

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Solution

The third proportional to 607,273.50 and 907,564.50 is: 1,356,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,273.50 : 907,564.50 = 907,564.50 : x
  2. Step 2: Convert to fraction form
    607,273.50/907,564.50 = 907,564.50/x
  3. Step 3: Cross multiply
    607,273.50x = 907,564.50 × 907,564.50
  4. Step 4: Simplify right side
    607,273.50x = 823,673,321,660.25
  5. Step 5: Solve for x
    x = 823,673,321,660.25/607,273.50
  6. Step 6: Final answer
    x = 1,356,346.56

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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.