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Finding the Third Proportional to 375,902 and 581,798

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Solution

The third proportional to 375,902 and 581,798 is: 900,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,902 : 581,798 = 581,798 : x
  2. Step 2: Convert to fraction form
    375,902/581,798 = 581,798/x
  3. Step 3: Cross multiply
    375,902x = 581,798 × 581,798
  4. Step 4: Simplify right side
    375,902x = 338,488,912,804
  5. Step 5: Solve for x
    x = 338,488,912,804/375,902
  6. Step 6: Final answer
    x = 900,471.17

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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.