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Finding the Third Proportional to 461,655.09 and 737,503.81

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Solution

The third proportional to 461,655.09 and 737,503.81 is: 1,178,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,655.09 : 737,503.81 = 737,503.81 : x
  2. Step 2: Convert to fraction form
    461,655.09/737,503.81 = 737,503.81/x
  3. Step 3: Cross multiply
    461,655.09x = 737,503.81 × 737,503.81
  4. Step 4: Simplify right side
    461,655.09x = 543,911,874,892.44
  5. Step 5: Solve for x
    x = 543,911,874,892.44/461,655.09
  6. Step 6: Final answer
    x = 1,178,178.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.