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Finding the Third Proportional to 375,257 and 552,963

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Solution

The third proportional to 375,257 and 552,963 is: 814,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,257 : 552,963 = 552,963 : x
  2. Step 2: Convert to fraction form
    375,257/552,963 = 552,963/x
  3. Step 3: Cross multiply
    375,257x = 552,963 × 552,963
  4. Step 4: Simplify right side
    375,257x = 305,768,079,369
  5. Step 5: Solve for x
    x = 305,768,079,369/375,257
  6. Step 6: Final answer
    x = 814,823.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.