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Finding the Third Proportional to 354,268.88 and 723,407.50

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Solution

The third proportional to 354,268.88 and 723,407.50 is: 1,477,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,268.88 : 723,407.50 = 723,407.50 : x
  2. Step 2: Convert to fraction form
    354,268.88/723,407.50 = 723,407.50/x
  3. Step 3: Cross multiply
    354,268.88x = 723,407.50 × 723,407.50
  4. Step 4: Simplify right side
    354,268.88x = 523,318,411,056.25
  5. Step 5: Solve for x
    x = 523,318,411,056.25/354,268.88
  6. Step 6: Final answer
    x = 1,477,178.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.