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Finding the Third Proportional to 375,718 and 581,842

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Solution

The third proportional to 375,718 and 581,842 is: 901,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,718 : 581,842 = 581,842 : x
  2. Step 2: Convert to fraction form
    375,718/581,842 = 581,842/x
  3. Step 3: Cross multiply
    375,718x = 581,842 × 581,842
  4. Step 4: Simplify right side
    375,718x = 338,540,112,964
  5. Step 5: Solve for x
    x = 338,540,112,964/375,718
  6. Step 6: Final answer
    x = 901,048.43

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