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Finding the Third Proportional to 299,848.08 and 707,836.22

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Solution

The third proportional to 299,848.08 and 707,836.22 is: 1,670,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,848.08 : 707,836.22 = 707,836.22 : x
  2. Step 2: Convert to fraction form
    299,848.08/707,836.22 = 707,836.22/x
  3. Step 3: Cross multiply
    299,848.08x = 707,836.22 × 707,836.22
  4. Step 4: Simplify right side
    299,848.08x = 501,032,112,574.30
  5. Step 5: Solve for x
    x = 501,032,112,574.30/299,848.08
  6. Step 6: Final answer
    x = 1,670,953.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.