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Finding the Third Proportional to 324,465 and 698,828.50

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Solution

The third proportional to 324,465 and 698,828.50 is: 1,505,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,465 : 698,828.50 = 698,828.50 : x
  2. Step 2: Convert to fraction form
    324,465/698,828.50 = 698,828.50/x
  3. Step 3: Cross multiply
    324,465x = 698,828.50 × 698,828.50
  4. Step 4: Simplify right side
    324,465x = 488,361,272,412.25
  5. Step 5: Solve for x
    x = 488,361,272,412.25/324,465
  6. Step 6: Final answer
    x = 1,505,127.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.