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Finding the Third Proportional to 456,202 and 666,969

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Solution

The third proportional to 456,202 and 666,969 is: 975,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,202 : 666,969 = 666,969 : x
  2. Step 2: Convert to fraction form
    456,202/666,969 = 666,969/x
  3. Step 3: Cross multiply
    456,202x = 666,969 × 666,969
  4. Step 4: Simplify right side
    456,202x = 444,847,646,961
  5. Step 5: Solve for x
    x = 444,847,646,961/456,202
  6. Step 6: Final answer
    x = 975,111.13

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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.