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Finding the Third Proportional to 274,335.19 and 607,515.19

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Solution

The third proportional to 274,335.19 and 607,515.19 is: 1,345,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,335.19 : 607,515.19 = 607,515.19 : x
  2. Step 2: Convert to fraction form
    274,335.19/607,515.19 = 607,515.19/x
  3. Step 3: Cross multiply
    274,335.19x = 607,515.19 × 607,515.19
  4. Step 4: Simplify right side
    274,335.19x = 369,074,703,043.16
  5. Step 5: Solve for x
    x = 369,074,703,043.16/274,335.19
  6. Step 6: Final answer
    x = 1,345,342.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.