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Finding the Third Proportional to 340,056 and 528,984

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Solution

The third proportional to 340,056 and 528,984 is: 822,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,056 : 528,984 = 528,984 : x
  2. Step 2: Convert to fraction form
    340,056/528,984 = 528,984/x
  3. Step 3: Cross multiply
    340,056x = 528,984 × 528,984
  4. Step 4: Simplify right side
    340,056x = 279,824,072,256
  5. Step 5: Solve for x
    x = 279,824,072,256/340,056
  6. Step 6: Final answer
    x = 822,876.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.