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Finding the Third Proportional to 564,336 and 874,176

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Solution

The third proportional to 564,336 and 874,176 is: 1,354,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,336 : 874,176 = 874,176 : x
  2. Step 2: Convert to fraction form
    564,336/874,176 = 874,176/x
  3. Step 3: Cross multiply
    564,336x = 874,176 × 874,176
  4. Step 4: Simplify right side
    564,336x = 764,183,678,976
  5. Step 5: Solve for x
    x = 764,183,678,976/564,336
  6. Step 6: Final answer
    x = 1,354,128.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.