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Finding the Third Proportional to 508,066 and 748,063

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Solution

The third proportional to 508,066 and 748,063 is: 1,101,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,066 : 748,063 = 748,063 : x
  2. Step 2: Convert to fraction form
    508,066/748,063 = 748,063/x
  3. Step 3: Cross multiply
    508,066x = 748,063 × 748,063
  4. Step 4: Simplify right side
    508,066x = 559,598,251,969
  5. Step 5: Solve for x
    x = 559,598,251,969/508,066
  6. Step 6: Final answer
    x = 1,101,428.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.