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Finding the Third Proportional to 368,428.34 and 805,593.41

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Solution

The third proportional to 368,428.34 and 805,593.41 is: 1,761,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,428.34 : 805,593.41 = 805,593.41 : x
  2. Step 2: Convert to fraction form
    368,428.34/805,593.41 = 805,593.41/x
  3. Step 3: Cross multiply
    368,428.34x = 805,593.41 × 805,593.41
  4. Step 4: Simplify right side
    368,428.34x = 648,980,742,487.18
  5. Step 5: Solve for x
    x = 648,980,742,487.18/368,428.34
  6. Step 6: Final answer
    x = 1,761,484.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.