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Finding the Third Proportional to 217,338.50 and 470,852

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Solution

The third proportional to 217,338.50 and 470,852 is: 1,020,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,338.50 : 470,852 = 470,852 : x
  2. Step 2: Convert to fraction form
    217,338.50/470,852 = 470,852/x
  3. Step 3: Cross multiply
    217,338.50x = 470,852 × 470,852
  4. Step 4: Simplify right side
    217,338.50x = 221,701,605,904
  5. Step 5: Solve for x
    x = 221,701,605,904/217,338.50
  6. Step 6: Final answer
    x = 1,020,075.16

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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.