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Finding the Third Proportional to 449,705.50 and 917,475.50

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Solution

The third proportional to 449,705.50 and 917,475.50 is: 1,871,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,705.50 : 917,475.50 = 917,475.50 : x
  2. Step 2: Convert to fraction form
    449,705.50/917,475.50 = 917,475.50/x
  3. Step 3: Cross multiply
    449,705.50x = 917,475.50 × 917,475.50
  4. Step 4: Simplify right side
    449,705.50x = 841,761,293,100.25
  5. Step 5: Solve for x
    x = 841,761,293,100.25/449,705.50
  6. Step 6: Final answer
    x = 1,871,805.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.