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Finding the Third Proportional to 470,083 and 716,144

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Solution

The third proportional to 470,083 and 716,144 is: 1,091,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,083 : 716,144 = 716,144 : x
  2. Step 2: Convert to fraction form
    470,083/716,144 = 716,144/x
  3. Step 3: Cross multiply
    470,083x = 716,144 × 716,144
  4. Step 4: Simplify right side
    470,083x = 512,862,228,736
  5. Step 5: Solve for x
    x = 512,862,228,736/470,083
  6. Step 6: Final answer
    x = 1,091,003.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.