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Finding the Third Proportional to 714,285 and 1,078,717.50

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Solution

The third proportional to 714,285 and 1,078,717.50 is: 1,629,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,285 : 1,078,717.50 = 1,078,717.50 : x
  2. Step 2: Convert to fraction form
    714,285/1,078,717.50 = 1,078,717.50/x
  3. Step 3: Cross multiply
    714,285x = 1,078,717.50 × 1,078,717.50
  4. Step 4: Simplify right side
    714,285x = 1,163,631,444,806.25
  5. Step 5: Solve for x
    x = 1,163,631,444,806.25/714,285
  6. Step 6: Final answer
    x = 1,629,085.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.