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Finding the Third Proportional to 402,244.73 and 596,409.33

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Solution

The third proportional to 402,244.73 and 596,409.33 is: 884,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,244.73 : 596,409.33 = 596,409.33 : x
  2. Step 2: Convert to fraction form
    402,244.73/596,409.33 = 596,409.33/x
  3. Step 3: Cross multiply
    402,244.73x = 596,409.33 × 596,409.33
  4. Step 4: Simplify right side
    402,244.73x = 355,704,086,674.51
  5. Step 5: Solve for x
    x = 355,704,086,674.51/402,244.73
  6. Step 6: Final answer
    x = 884,297.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.