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Finding the Third Proportional to 428,128 and 666,703

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Solution

The third proportional to 428,128 and 666,703 is: 1,038,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,128 : 666,703 = 666,703 : x
  2. Step 2: Convert to fraction form
    428,128/666,703 = 666,703/x
  3. Step 3: Cross multiply
    428,128x = 666,703 × 666,703
  4. Step 4: Simplify right side
    428,128x = 444,492,890,209
  5. Step 5: Solve for x
    x = 444,492,890,209/428,128
  6. Step 6: Final answer
    x = 1,038,224.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.