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Finding the Third Proportional to 456,203 and 666,970

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Solution

The third proportional to 456,203 and 666,970 is: 975,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,203 : 666,970 = 666,970 : x
  2. Step 2: Convert to fraction form
    456,203/666,970 = 666,970/x
  3. Step 3: Cross multiply
    456,203x = 666,970 × 666,970
  4. Step 4: Simplify right side
    456,203x = 444,848,980,900
  5. Step 5: Solve for x
    x = 444,848,980,900/456,203
  6. Step 6: Final answer
    x = 975,111.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.