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Finding the Third Proportional to 315,036 and 492,810

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Solution

The third proportional to 315,036 and 492,810 is: 770,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,036 : 492,810 = 492,810 : x
  2. Step 2: Convert to fraction form
    315,036/492,810 = 492,810/x
  3. Step 3: Cross multiply
    315,036x = 492,810 × 492,810
  4. Step 4: Simplify right side
    315,036x = 242,861,696,100
  5. Step 5: Solve for x
    x = 242,861,696,100/315,036
  6. Step 6: Final answer
    x = 770,901.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.