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Finding the Third Proportional to 466,236 and 708,466.50

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Solution

The third proportional to 466,236 and 708,466.50 is: 1,076,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,236 : 708,466.50 = 708,466.50 : x
  2. Step 2: Convert to fraction form
    466,236/708,466.50 = 708,466.50/x
  3. Step 3: Cross multiply
    466,236x = 708,466.50 × 708,466.50
  4. Step 4: Simplify right side
    466,236x = 501,924,781,622.25
  5. Step 5: Solve for x
    x = 501,924,781,622.25/466,236
  6. Step 6: Final answer
    x = 1,076,546.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.