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Finding the Third Proportional to 294,453 and 635,535

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Solution

The third proportional to 294,453 and 635,535 is: 1,371,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,453 : 635,535 = 635,535 : x
  2. Step 2: Convert to fraction form
    294,453/635,535 = 635,535/x
  3. Step 3: Cross multiply
    294,453x = 635,535 × 635,535
  4. Step 4: Simplify right side
    294,453x = 403,904,736,225
  5. Step 5: Solve for x
    x = 403,904,736,225/294,453
  6. Step 6: Final answer
    x = 1,371,712.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.