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Finding the Third Proportional to 303,547 and 459,858

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Solution

The third proportional to 303,547 and 459,858 is: 696,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,547 : 459,858 = 459,858 : x
  2. Step 2: Convert to fraction form
    303,547/459,858 = 459,858/x
  3. Step 3: Cross multiply
    303,547x = 459,858 × 459,858
  4. Step 4: Simplify right side
    303,547x = 211,469,380,164
  5. Step 5: Solve for x
    x = 211,469,380,164/303,547
  6. Step 6: Final answer
    x = 696,661.08

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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.