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Finding the Third Proportional to 216,603 and 470,967

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Solution

The third proportional to 216,603 and 470,967 is: 1,024,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,603 : 470,967 = 470,967 : x
  2. Step 2: Convert to fraction form
    216,603/470,967 = 470,967/x
  3. Step 3: Cross multiply
    216,603x = 470,967 × 470,967
  4. Step 4: Simplify right side
    216,603x = 221,809,915,089
  5. Step 5: Solve for x
    x = 221,809,915,089/216,603
  6. Step 6: Final answer
    x = 1,024,038.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.