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Finding the Third Proportional to 376,944 and 528,284

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Solution

The third proportional to 376,944 and 528,284 is: 740,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,944 : 528,284 = 528,284 : x
  2. Step 2: Convert to fraction form
    376,944/528,284 = 528,284/x
  3. Step 3: Cross multiply
    376,944x = 528,284 × 528,284
  4. Step 4: Simplify right side
    376,944x = 279,083,984,656
  5. Step 5: Solve for x
    x = 279,083,984,656/376,944
  6. Step 6: Final answer
    x = 740,385.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.