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Finding the Third Proportional to 291,201 and 456,892.50

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Solution

The third proportional to 291,201 and 456,892.50 is: 716,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,201 : 456,892.50 = 456,892.50 : x
  2. Step 2: Convert to fraction form
    291,201/456,892.50 = 456,892.50/x
  3. Step 3: Cross multiply
    291,201x = 456,892.50 × 456,892.50
  4. Step 4: Simplify right side
    291,201x = 208,750,756,556.25
  5. Step 5: Solve for x
    x = 208,750,756,556.25/291,201
  6. Step 6: Final answer
    x = 716,861.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.