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Finding the Third Proportional to 324,895 and 712,563

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Solution

The third proportional to 324,895 and 712,563 is: 1,562,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,895 : 712,563 = 712,563 : x
  2. Step 2: Convert to fraction form
    324,895/712,563 = 712,563/x
  3. Step 3: Cross multiply
    324,895x = 712,563 × 712,563
  4. Step 4: Simplify right side
    324,895x = 507,746,028,969
  5. Step 5: Solve for x
    x = 507,746,028,969/324,895
  6. Step 6: Final answer
    x = 1,562,800.38

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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.