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Finding the Third Proportional to 584,421 and 874,278

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Solution

The third proportional to 584,421 and 874,278 is: 1,307,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,421 : 874,278 = 874,278 : x
  2. Step 2: Convert to fraction form
    584,421/874,278 = 874,278/x
  3. Step 3: Cross multiply
    584,421x = 874,278 × 874,278
  4. Step 4: Simplify right side
    584,421x = 764,362,021,284
  5. Step 5: Solve for x
    x = 764,362,021,284/584,421
  6. Step 6: Final answer
    x = 1,307,896.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.