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Finding the Third Proportional to 295,191 and 645,786

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Solution

The third proportional to 295,191 and 645,786 is: 1,412,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,191 : 645,786 = 645,786 : x
  2. Step 2: Convert to fraction form
    295,191/645,786 = 645,786/x
  3. Step 3: Cross multiply
    295,191x = 645,786 × 645,786
  4. Step 4: Simplify right side
    295,191x = 417,039,557,796
  5. Step 5: Solve for x
    x = 417,039,557,796/295,191
  6. Step 6: Final answer
    x = 1,412,778.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.