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Finding the Third Proportional to 348,338.81 and 538,359.75

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Solution

The third proportional to 348,338.81 and 538,359.75 is: 832,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,338.81 : 538,359.75 = 538,359.75 : x
  2. Step 2: Convert to fraction form
    348,338.81/538,359.75 = 538,359.75/x
  3. Step 3: Cross multiply
    348,338.81x = 538,359.75 × 538,359.75
  4. Step 4: Simplify right side
    348,338.81x = 289,831,220,420.06
  5. Step 5: Solve for x
    x = 289,831,220,420.06/348,338.81
  6. Step 6: Final answer
    x = 832,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.