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Finding the Third Proportional to 286,285.50 and 430,066

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Solution

The third proportional to 286,285.50 and 430,066 is: 646,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,285.50 : 430,066 = 430,066 : x
  2. Step 2: Convert to fraction form
    286,285.50/430,066 = 430,066/x
  3. Step 3: Cross multiply
    286,285.50x = 430,066 × 430,066
  4. Step 4: Simplify right side
    286,285.50x = 184,956,764,356
  5. Step 5: Solve for x
    x = 184,956,764,356/286,285.50
  6. Step 6: Final answer
    x = 646,057.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.