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Finding the Third Proportional to 295,138 and 645,328

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Solution

The third proportional to 295,138 and 645,328 is: 1,411,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,138 : 645,328 = 645,328 : x
  2. Step 2: Convert to fraction form
    295,138/645,328 = 645,328/x
  3. Step 3: Cross multiply
    295,138x = 645,328 × 645,328
  4. Step 4: Simplify right side
    295,138x = 416,448,227,584
  5. Step 5: Solve for x
    x = 416,448,227,584/295,138
  6. Step 6: Final answer
    x = 1,411,028.83

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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.