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Finding the Third Proportional to 580,488 and 874,152

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Solution

The third proportional to 580,488 and 874,152 is: 1,316,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,488 : 874,152 = 874,152 : x
  2. Step 2: Convert to fraction form
    580,488/874,152 = 874,152/x
  3. Step 3: Cross multiply
    580,488x = 874,152 × 874,152
  4. Step 4: Simplify right side
    580,488x = 764,141,719,104
  5. Step 5: Solve for x
    x = 764,141,719,104/580,488
  6. Step 6: Final answer
    x = 1,316,378.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.