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Finding the Third Proportional to 296,122 and 470,968

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Solution

The third proportional to 296,122 and 470,968 is: 749,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,122 : 470,968 = 470,968 : x
  2. Step 2: Convert to fraction form
    296,122/470,968 = 470,968/x
  3. Step 3: Cross multiply
    296,122x = 470,968 × 470,968
  4. Step 4: Simplify right side
    296,122x = 221,810,857,024
  5. Step 5: Solve for x
    x = 221,810,857,024/296,122
  6. Step 6: Final answer
    x = 749,052.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.