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Finding the Third Proportional to 701,653 and 977,579

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Solution

The third proportional to 701,653 and 977,579 is: 1,362,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,653 : 977,579 = 977,579 : x
  2. Step 2: Convert to fraction form
    701,653/977,579 = 977,579/x
  3. Step 3: Cross multiply
    701,653x = 977,579 × 977,579
  4. Step 4: Simplify right side
    701,653x = 955,660,701,241
  5. Step 5: Solve for x
    x = 955,660,701,241/701,653
  6. Step 6: Final answer
    x = 1,362,013.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.