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Finding the Third Proportional to 624,576 and 935,152

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Solution

The third proportional to 624,576 and 935,152 is: 1,400,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,576 : 935,152 = 935,152 : x
  2. Step 2: Convert to fraction form
    624,576/935,152 = 935,152/x
  3. Step 3: Cross multiply
    624,576x = 935,152 × 935,152
  4. Step 4: Simplify right side
    624,576x = 874,509,263,104
  5. Step 5: Solve for x
    x = 874,509,263,104/624,576
  6. Step 6: Final answer
    x = 1,400,164.69

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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.