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Finding the Third Proportional to 275,320 and 425,531

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Solution

The third proportional to 275,320 and 425,531 is: 657,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,320 : 425,531 = 425,531 : x
  2. Step 2: Convert to fraction form
    275,320/425,531 = 425,531/x
  3. Step 3: Cross multiply
    275,320x = 425,531 × 425,531
  4. Step 4: Simplify right side
    275,320x = 181,076,631,961
  5. Step 5: Solve for x
    x = 181,076,631,961/275,320
  6. Step 6: Final answer
    x = 657,695.16

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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.