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Finding the Third Proportional to 336,944.81 and 732,938.63

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Solution

The third proportional to 336,944.81 and 732,938.63 is: 1,594,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,944.81 : 732,938.63 = 732,938.63 : x
  2. Step 2: Convert to fraction form
    336,944.81/732,938.63 = 732,938.63/x
  3. Step 3: Cross multiply
    336,944.81x = 732,938.63 × 732,938.63
  4. Step 4: Simplify right side
    336,944.81x = 537,199,028,016.89
  5. Step 5: Solve for x
    x = 537,199,028,016.89/336,944.81
  6. Step 6: Final answer
    x = 1,594,323.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.