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Finding the Third Proportional to 321,298 and 705,656

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Solution

The third proportional to 321,298 and 705,656 is: 1,549,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,298 : 705,656 = 705,656 : x
  2. Step 2: Convert to fraction form
    321,298/705,656 = 705,656/x
  3. Step 3: Cross multiply
    321,298x = 705,656 × 705,656
  4. Step 4: Simplify right side
    321,298x = 497,950,390,336
  5. Step 5: Solve for x
    x = 497,950,390,336/321,298
  6. Step 6: Final answer
    x = 1,549,808.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.