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Finding the Third Proportional to 431,945 and 595,428

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Solution

The third proportional to 431,945 and 595,428 is: 820,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,945 : 595,428 = 595,428 : x
  2. Step 2: Convert to fraction form
    431,945/595,428 = 595,428/x
  3. Step 3: Cross multiply
    431,945x = 595,428 × 595,428
  4. Step 4: Simplify right side
    431,945x = 354,534,503,184
  5. Step 5: Solve for x
    x = 354,534,503,184/431,945
  6. Step 6: Final answer
    x = 820,786.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.