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Finding the Third Proportional to 470,696 and 718,360

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Solution

The third proportional to 470,696 and 718,360 is: 1,096,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,696 : 718,360 = 718,360 : x
  2. Step 2: Convert to fraction form
    470,696/718,360 = 718,360/x
  3. Step 3: Cross multiply
    470,696x = 718,360 × 718,360
  4. Step 4: Simplify right side
    470,696x = 516,041,089,600
  5. Step 5: Solve for x
    x = 516,041,089,600/470,696
  6. Step 6: Final answer
    x = 1,096,336.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.