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Finding the Third Proportional to 404,982 and 604,192.50

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Solution

The third proportional to 404,982 and 604,192.50 is: 901,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,982 : 604,192.50 = 604,192.50 : x
  2. Step 2: Convert to fraction form
    404,982/604,192.50 = 604,192.50/x
  3. Step 3: Cross multiply
    404,982x = 604,192.50 × 604,192.50
  4. Step 4: Simplify right side
    404,982x = 365,048,577,056.25
  5. Step 5: Solve for x
    x = 365,048,577,056.25/404,982
  6. Step 6: Final answer
    x = 901,394.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.