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Finding the Third Proportional to 346,555.69 and 698,257.69

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Solution

The third proportional to 346,555.69 and 698,257.69 is: 1,406,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,555.69 : 698,257.69 = 698,257.69 : x
  2. Step 2: Convert to fraction form
    346,555.69/698,257.69 = 698,257.69/x
  3. Step 3: Cross multiply
    346,555.69x = 698,257.69 × 698,257.69
  4. Step 4: Simplify right side
    346,555.69x = 487,563,798,152.85
  5. Step 5: Solve for x
    x = 487,563,798,152.85/346,555.69
  6. Step 6: Final answer
    x = 1,406,884.42

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.