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Finding the Third Proportional to 465,676.50 and 711,880.50

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Solution

The third proportional to 465,676.50 and 711,880.50 is: 1,088,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,676.50 : 711,880.50 = 711,880.50 : x
  2. Step 2: Convert to fraction form
    465,676.50/711,880.50 = 711,880.50/x
  3. Step 3: Cross multiply
    465,676.50x = 711,880.50 × 711,880.50
  4. Step 4: Simplify right side
    465,676.50x = 506,773,846,280.25
  5. Step 5: Solve for x
    x = 506,773,846,280.25/465,676.50
  6. Step 6: Final answer
    x = 1,088,253.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.