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Finding the Third Proportional to 401,722.50 and 875,556

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Solution

The third proportional to 401,722.50 and 875,556 is: 1,908,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,722.50 : 875,556 = 875,556 : x
  2. Step 2: Convert to fraction form
    401,722.50/875,556 = 875,556/x
  3. Step 3: Cross multiply
    401,722.50x = 875,556 × 875,556
  4. Step 4: Simplify right side
    401,722.50x = 766,598,309,136
  5. Step 5: Solve for x
    x = 766,598,309,136/401,722.50
  6. Step 6: Final answer
    x = 1,908,278.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.