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Finding the Third Proportional to 434,232 and 942,735

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Solution

The third proportional to 434,232 and 942,735 is: 2,046,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,232 : 942,735 = 942,735 : x
  2. Step 2: Convert to fraction form
    434,232/942,735 = 942,735/x
  3. Step 3: Cross multiply
    434,232x = 942,735 × 942,735
  4. Step 4: Simplify right side
    434,232x = 888,749,280,225
  5. Step 5: Solve for x
    x = 888,749,280,225/434,232
  6. Step 6: Final answer
    x = 2,046,715.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.