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Finding the Third Proportional to 375,501 and 581,805

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Solution

The third proportional to 375,501 and 581,805 is: 901,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,501 : 581,805 = 581,805 : x
  2. Step 2: Convert to fraction form
    375,501/581,805 = 581,805/x
  3. Step 3: Cross multiply
    375,501x = 581,805 × 581,805
  4. Step 4: Simplify right side
    375,501x = 338,497,058,025
  5. Step 5: Solve for x
    x = 338,497,058,025/375,501
  6. Step 6: Final answer
    x = 901,454.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.