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Finding the Third Proportional to 329,228 and 721,368.50

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Solution

The third proportional to 329,228 and 721,368.50 is: 1,580,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,228 : 721,368.50 = 721,368.50 : x
  2. Step 2: Convert to fraction form
    329,228/721,368.50 = 721,368.50/x
  3. Step 3: Cross multiply
    329,228x = 721,368.50 × 721,368.50
  4. Step 4: Simplify right side
    329,228x = 520,372,512,792.25
  5. Step 5: Solve for x
    x = 520,372,512,792.25/329,228
  6. Step 6: Final answer
    x = 1,580,584.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.