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Finding the Third Proportional to 316,752 and 683,015.25

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Solution

The third proportional to 316,752 and 683,015.25 is: 1,472,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,752 : 683,015.25 = 683,015.25 : x
  2. Step 2: Convert to fraction form
    316,752/683,015.25 = 683,015.25/x
  3. Step 3: Cross multiply
    316,752x = 683,015.25 × 683,015.25
  4. Step 4: Simplify right side
    316,752x = 466,509,831,732.56
  5. Step 5: Solve for x
    x = 466,509,831,732.56/316,752
  6. Step 6: Final answer
    x = 1,472,792.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.