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Finding the Third Proportional to 613,575 and 1,433,056.50

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Solution

The third proportional to 613,575 and 1,433,056.50 is: 3,347,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,575 : 1,433,056.50 = 1,433,056.50 : x
  2. Step 2: Convert to fraction form
    613,575/1,433,056.50 = 1,433,056.50/x
  3. Step 3: Cross multiply
    613,575x = 1,433,056.50 × 1,433,056.50
  4. Step 4: Simplify right side
    613,575x = 2,053,650,932,192.25
  5. Step 5: Solve for x
    x = 2,053,650,932,192.25/613,575
  6. Step 6: Final answer
    x = 3,347,025.11

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.