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Finding the Third Proportional to 612,994 and 877,571

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Solution

The third proportional to 612,994 and 877,571 is: 1,256,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,994 : 877,571 = 877,571 : x
  2. Step 2: Convert to fraction form
    612,994/877,571 = 877,571/x
  3. Step 3: Cross multiply
    612,994x = 877,571 × 877,571
  4. Step 4: Simplify right side
    612,994x = 770,130,860,041
  5. Step 5: Solve for x
    x = 770,130,860,041/612,994
  6. Step 6: Final answer
    x = 1,256,343.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.