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Finding the Third Proportional to 284,528 and 595,359

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Solution

The third proportional to 284,528 and 595,359 is: 1,245,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,528 : 595,359 = 595,359 : x
  2. Step 2: Convert to fraction form
    284,528/595,359 = 595,359/x
  3. Step 3: Cross multiply
    284,528x = 595,359 × 595,359
  4. Step 4: Simplify right side
    284,528x = 354,452,338,881
  5. Step 5: Solve for x
    x = 354,452,338,881/284,528
  6. Step 6: Final answer
    x = 1,245,755.56

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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.