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Finding the Third Proportional to 401,762.25 and 607,827.75

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Solution

The third proportional to 401,762.25 and 607,827.75 is: 919,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,762.25 : 607,827.75 = 607,827.75 : x
  2. Step 2: Convert to fraction form
    401,762.25/607,827.75 = 607,827.75/x
  3. Step 3: Cross multiply
    401,762.25x = 607,827.75 × 607,827.75
  4. Step 4: Simplify right side
    401,762.25x = 369,454,573,670.06
  5. Step 5: Solve for x
    x = 369,454,573,670.06/401,762.25
  6. Step 6: Final answer
    x = 919,585.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.