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Finding the Third Proportional to 607,277 and 907,569

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Solution

The third proportional to 607,277 and 907,569 is: 1,356,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,277 : 907,569 = 907,569 : x
  2. Step 2: Convert to fraction form
    607,277/907,569 = 907,569/x
  3. Step 3: Cross multiply
    607,277x = 907,569 × 907,569
  4. Step 4: Simplify right side
    607,277x = 823,681,489,761
  5. Step 5: Solve for x
    x = 823,681,489,761/607,277
  6. Step 6: Final answer
    x = 1,356,352.19

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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.