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Finding the Third Proportional to 214,075.88 and 470,526

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Solution

The third proportional to 214,075.88 and 470,526 is: 1,034,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,075.88 : 470,526 = 470,526 : x
  2. Step 2: Convert to fraction form
    214,075.88/470,526 = 470,526/x
  3. Step 3: Cross multiply
    214,075.88x = 470,526 × 470,526
  4. Step 4: Simplify right side
    214,075.88x = 221,394,716,676
  5. Step 5: Solve for x
    x = 221,394,716,676/214,075.88
  6. Step 6: Final answer
    x = 1,034,188.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.