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Finding the Third Proportional to 284,541 and 595,386

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Solution

The third proportional to 284,541 and 595,386 is: 1,245,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,541 : 595,386 = 595,386 : x
  2. Step 2: Convert to fraction form
    284,541/595,386 = 595,386/x
  3. Step 3: Cross multiply
    284,541x = 595,386 × 595,386
  4. Step 4: Simplify right side
    284,541x = 354,484,488,996
  5. Step 5: Solve for x
    x = 354,484,488,996/284,541
  6. Step 6: Final answer
    x = 1,245,811.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.