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Finding the Third Proportional to 404,597.81 and 604,125.84

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Solution

The third proportional to 404,597.81 and 604,125.84 is: 902,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,597.81 : 604,125.84 = 604,125.84 : x
  2. Step 2: Convert to fraction form
    404,597.81/604,125.84 = 604,125.84/x
  3. Step 3: Cross multiply
    404,597.81x = 604,125.84 × 604,125.84
  4. Step 4: Simplify right side
    404,597.81x = 364,968,035,086.65
  5. Step 5: Solve for x
    x = 364,968,035,086.65/404,597.81
  6. Step 6: Final answer
    x = 902,051.43

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Why These Related Problems?

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