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Finding the Third Proportional to 584,296 and 874,101

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Solution

The third proportional to 584,296 and 874,101 is: 1,307,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,296 : 874,101 = 874,101 : x
  2. Step 2: Convert to fraction form
    584,296/874,101 = 874,101/x
  3. Step 3: Cross multiply
    584,296x = 874,101 × 874,101
  4. Step 4: Simplify right side
    584,296x = 764,052,558,201
  5. Step 5: Solve for x
    x = 764,052,558,201/584,296
  6. Step 6: Final answer
    x = 1,307,646.40

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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.