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Finding the Third Proportional to 289,737 and 635,485.50

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Solution

The third proportional to 289,737 and 635,485.50 is: 1,393,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,737 : 635,485.50 = 635,485.50 : x
  2. Step 2: Convert to fraction form
    289,737/635,485.50 = 635,485.50/x
  3. Step 3: Cross multiply
    289,737x = 635,485.50 × 635,485.50
  4. Step 4: Simplify right side
    289,737x = 403,841,820,710.25
  5. Step 5: Solve for x
    x = 403,841,820,710.25/289,737
  6. Step 6: Final answer
    x = 1,393,822.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.