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Finding the Third Proportional to 701,658 and 977,584

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Solution

The third proportional to 701,658 and 977,584 is: 1,362,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,658 : 977,584 = 977,584 : x
  2. Step 2: Convert to fraction form
    701,658/977,584 = 977,584/x
  3. Step 3: Cross multiply
    701,658x = 977,584 × 977,584
  4. Step 4: Simplify right side
    701,658x = 955,670,477,056
  5. Step 5: Solve for x
    x = 955,670,477,056/701,658
  6. Step 6: Final answer
    x = 1,362,017.50

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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.