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Finding the Third Proportional to 284,154.75 and 607,708.41

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Solution

The third proportional to 284,154.75 and 607,708.41 is: 1,299,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154.75 : 607,708.41 = 607,708.41 : x
  2. Step 2: Convert to fraction form
    284,154.75/607,708.41 = 607,708.41/x
  3. Step 3: Cross multiply
    284,154.75x = 607,708.41 × 607,708.41
  4. Step 4: Simplify right side
    284,154.75x = 369,309,507,026.92
  5. Step 5: Solve for x
    x = 369,309,507,026.92/284,154.75
  6. Step 6: Final answer
    x = 1,299,677.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.