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Finding the Third Proportional to 428,159 and 666,746

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Solution

The third proportional to 428,159 and 666,746 is: 1,038,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,159 : 666,746 = 666,746 : x
  2. Step 2: Convert to fraction form
    428,159/666,746 = 666,746/x
  3. Step 3: Cross multiply
    428,159x = 666,746 × 666,746
  4. Step 4: Simplify right side
    428,159x = 444,550,228,516
  5. Step 5: Solve for x
    x = 444,550,228,516/428,159
  6. Step 6: Final answer
    x = 1,038,283.04

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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.