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Finding the Third Proportional to 331,575 and 716,122.50

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Solution

The third proportional to 331,575 and 716,122.50 is: 1,546,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,575 : 716,122.50 = 716,122.50 : x
  2. Step 2: Convert to fraction form
    331,575/716,122.50 = 716,122.50/x
  3. Step 3: Cross multiply
    331,575x = 716,122.50 × 716,122.50
  4. Step 4: Simplify right side
    331,575x = 512,831,435,006.25
  5. Step 5: Solve for x
    x = 512,831,435,006.25/331,575
  6. Step 6: Final answer
    x = 1,546,652.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.