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Finding the Third Proportional to 357,756 and 484,146

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Solution

The third proportional to 357,756 and 484,146 is: 655,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,756 : 484,146 = 484,146 : x
  2. Step 2: Convert to fraction form
    357,756/484,146 = 484,146/x
  3. Step 3: Cross multiply
    357,756x = 484,146 × 484,146
  4. Step 4: Simplify right side
    357,756x = 234,397,349,316
  5. Step 5: Solve for x
    x = 234,397,349,316/357,756
  6. Step 6: Final answer
    x = 655,187.75

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Why These Related Problems?

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