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Finding the Third Proportional to 303,769 and 716,157

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Solution

The third proportional to 303,769 and 716,157 is: 1,688,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,769 : 716,157 = 716,157 : x
  2. Step 2: Convert to fraction form
    303,769/716,157 = 716,157/x
  3. Step 3: Cross multiply
    303,769x = 716,157 × 716,157
  4. Step 4: Simplify right side
    303,769x = 512,880,848,649
  5. Step 5: Solve for x
    x = 512,880,848,649/303,769
  6. Step 6: Final answer
    x = 1,688,391.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.