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Finding the Third Proportional to 435,419.50 and 640,326

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Solution

The third proportional to 435,419.50 and 640,326 is: 941,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,419.50 : 640,326 = 640,326 : x
  2. Step 2: Convert to fraction form
    435,419.50/640,326 = 640,326/x
  3. Step 3: Cross multiply
    435,419.50x = 640,326 × 640,326
  4. Step 4: Simplify right side
    435,419.50x = 410,017,386,276
  5. Step 5: Solve for x
    x = 410,017,386,276/435,419.50
  6. Step 6: Final answer
    x = 941,660.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.