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Finding the Third Proportional to 623,464 and 1,353,200

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Solution

The third proportional to 623,464 and 1,353,200 is: 2,937,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,464 : 1,353,200 = 1,353,200 : x
  2. Step 2: Convert to fraction form
    623,464/1,353,200 = 1,353,200/x
  3. Step 3: Cross multiply
    623,464x = 1,353,200 × 1,353,200
  4. Step 4: Simplify right side
    623,464x = 1,831,150,240,000
  5. Step 5: Solve for x
    x = 1,831,150,240,000/623,464
  6. Step 6: Final answer
    x = 2,937,058.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.