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Finding the Third Proportional to 463,730.63 and 737,672.06

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Solution

The third proportional to 463,730.63 and 737,672.06 is: 1,173,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,730.63 : 737,672.06 = 737,672.06 : x
  2. Step 2: Convert to fraction form
    463,730.63/737,672.06 = 737,672.06/x
  3. Step 3: Cross multiply
    463,730.63x = 737,672.06 × 737,672.06
  4. Step 4: Simplify right side
    463,730.63x = 544,160,071,793.00
  5. Step 5: Solve for x
    x = 544,160,071,793.00/463,730.63
  6. Step 6: Final answer
    x = 1,173,440.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.