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Finding the Third Proportional to 319,896 and 700,056

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Solution

The third proportional to 319,896 and 700,056 is: 1,531,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,896 : 700,056 = 700,056 : x
  2. Step 2: Convert to fraction form
    319,896/700,056 = 700,056/x
  3. Step 3: Cross multiply
    319,896x = 700,056 × 700,056
  4. Step 4: Simplify right side
    319,896x = 490,078,403,136
  5. Step 5: Solve for x
    x = 490,078,403,136/319,896
  6. Step 6: Final answer
    x = 1,531,992.91

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Why These Related Problems?

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