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Finding the Third Proportional to 659,969 and 941,955.50

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Solution

The third proportional to 659,969 and 941,955.50 is: 1,344,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,969 : 941,955.50 = 941,955.50 : x
  2. Step 2: Convert to fraction form
    659,969/941,955.50 = 941,955.50/x
  3. Step 3: Cross multiply
    659,969x = 941,955.50 × 941,955.50
  4. Step 4: Simplify right side
    659,969x = 887,280,163,980.25
  5. Step 5: Solve for x
    x = 887,280,163,980.25/659,969
  6. Step 6: Final answer
    x = 1,344,427.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.