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Finding the Third Proportional to 315,064.69 and 683,642.53

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Solution

The third proportional to 315,064.69 and 683,642.53 is: 1,483,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,064.69 : 683,642.53 = 683,642.53 : x
  2. Step 2: Convert to fraction form
    315,064.69/683,642.53 = 683,642.53/x
  3. Step 3: Cross multiply
    315,064.69x = 683,642.53 × 683,642.53
  4. Step 4: Simplify right side
    315,064.69x = 467,367,110,533.91
  5. Step 5: Solve for x
    x = 467,367,110,533.91/315,064.69
  6. Step 6: Final answer
    x = 1,483,400.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.