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Finding the Third Proportional to 357,702 and 484,062

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Solution

The third proportional to 357,702 and 484,062 is: 655,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,702 : 484,062 = 484,062 : x
  2. Step 2: Convert to fraction form
    357,702/484,062 = 484,062/x
  3. Step 3: Cross multiply
    357,702x = 484,062 × 484,062
  4. Step 4: Simplify right side
    357,702x = 234,316,019,844
  5. Step 5: Solve for x
    x = 234,316,019,844/357,702
  6. Step 6: Final answer
    x = 655,059.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.