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Finding the Third Proportional to 404,424 and 602,743.50

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Solution

The third proportional to 404,424 and 602,743.50 is: 898,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,424 : 602,743.50 = 602,743.50 : x
  2. Step 2: Convert to fraction form
    404,424/602,743.50 = 602,743.50/x
  3. Step 3: Cross multiply
    404,424x = 602,743.50 × 602,743.50
  4. Step 4: Simplify right side
    404,424x = 363,299,726,792.25
  5. Step 5: Solve for x
    x = 363,299,726,792.25/404,424
  6. Step 6: Final answer
    x = 898,313.96

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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.