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Finding the Third Proportional to 557,144 and 848,776

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Solution

The third proportional to 557,144 and 848,776 is: 1,293,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,144 : 848,776 = 848,776 : x
  2. Step 2: Convert to fraction form
    557,144/848,776 = 848,776/x
  3. Step 3: Cross multiply
    557,144x = 848,776 × 848,776
  4. Step 4: Simplify right side
    557,144x = 720,420,698,176
  5. Step 5: Solve for x
    x = 720,420,698,176/557,144
  6. Step 6: Final answer
    x = 1,293,060.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.