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Finding the Third Proportional to 375,324 and 582,030

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Solution

The third proportional to 375,324 and 582,030 is: 902,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,324 : 582,030 = 582,030 : x
  2. Step 2: Convert to fraction form
    375,324/582,030 = 582,030/x
  3. Step 3: Cross multiply
    375,324x = 582,030 × 582,030
  4. Step 4: Simplify right side
    375,324x = 338,758,920,900
  5. Step 5: Solve for x
    x = 338,758,920,900/375,324
  6. Step 6: Final answer
    x = 902,577.30

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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.