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Finding the Third Proportional to 333,860.63 and 707,448.38

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Solution

The third proportional to 333,860.63 and 707,448.38 is: 1,499,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,860.63 : 707,448.38 = 707,448.38 : x
  2. Step 2: Convert to fraction form
    333,860.63/707,448.38 = 707,448.38/x
  3. Step 3: Cross multiply
    333,860.63x = 707,448.38 × 707,448.38
  4. Step 4: Simplify right side
    333,860.63x = 500,483,203,290.14
  5. Step 5: Solve for x
    x = 500,483,203,290.14/333,860.63
  6. Step 6: Final answer
    x = 1,499,078.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.