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Finding the Third Proportional to 303,313 and 459,146

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Solution

The third proportional to 303,313 and 459,146 is: 695,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,313 : 459,146 = 459,146 : x
  2. Step 2: Convert to fraction form
    303,313/459,146 = 459,146/x
  3. Step 3: Cross multiply
    303,313x = 459,146 × 459,146
  4. Step 4: Simplify right side
    303,313x = 210,815,049,316
  5. Step 5: Solve for x
    x = 210,815,049,316/303,313
  6. Step 6: Final answer
    x = 695,041.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.