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Finding the Third Proportional to 201,070 and 441,990.50

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Solution

The third proportional to 201,070 and 441,990.50 is: 971,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,070 : 441,990.50 = 441,990.50 : x
  2. Step 2: Convert to fraction form
    201,070/441,990.50 = 441,990.50/x
  3. Step 3: Cross multiply
    201,070x = 441,990.50 × 441,990.50
  4. Step 4: Simplify right side
    201,070x = 195,355,602,090.25
  5. Step 5: Solve for x
    x = 195,355,602,090.25/201,070
  6. Step 6: Final answer
    x = 971,580.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.