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Finding the Third Proportional to 607,282.50 and 907,578

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Solution

The third proportional to 607,282.50 and 907,578 is: 1,356,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,282.50 : 907,578 = 907,578 : x
  2. Step 2: Convert to fraction form
    607,282.50/907,578 = 907,578/x
  3. Step 3: Cross multiply
    607,282.50x = 907,578 × 907,578
  4. Step 4: Simplify right side
    607,282.50x = 823,697,826,084
  5. Step 5: Solve for x
    x = 823,697,826,084/607,282.50
  6. Step 6: Final answer
    x = 1,356,366.81

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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.