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Finding the Third Proportional to 578,658 and 884,661

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Solution

The third proportional to 578,658 and 884,661 is: 1,352,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,658 : 884,661 = 884,661 : x
  2. Step 2: Convert to fraction form
    578,658/884,661 = 884,661/x
  3. Step 3: Cross multiply
    578,658x = 884,661 × 884,661
  4. Step 4: Simplify right side
    578,658x = 782,625,084,921
  5. Step 5: Solve for x
    x = 782,625,084,921/578,658
  6. Step 6: Final answer
    x = 1,352,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.