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Finding the Third Proportional to 375,502 and 581,080

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Solution

The third proportional to 375,502 and 581,080 is: 899,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,502 : 581,080 = 581,080 : x
  2. Step 2: Convert to fraction form
    375,502/581,080 = 581,080/x
  3. Step 3: Cross multiply
    375,502x = 581,080 × 581,080
  4. Step 4: Simplify right side
    375,502x = 337,653,966,400
  5. Step 5: Solve for x
    x = 337,653,966,400/375,502
  6. Step 6: Final answer
    x = 899,206.84

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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.