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Finding the Third Proportional to 607,381.50 and 942,905.25

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Solution

The third proportional to 607,381.50 and 942,905.25 is: 1,463,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,381.50 : 942,905.25 = 942,905.25 : x
  2. Step 2: Convert to fraction form
    607,381.50/942,905.25 = 942,905.25/x
  3. Step 3: Cross multiply
    607,381.50x = 942,905.25 × 942,905.25
  4. Step 4: Simplify right side
    607,381.50x = 889,070,310,477.56
  5. Step 5: Solve for x
    x = 889,070,310,477.56/607,381.50
  6. Step 6: Final answer
    x = 1,463,775.75

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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.