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Finding the Third Proportional to 235,628 and 364,037

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Solution

The third proportional to 235,628 and 364,037 is: 562,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,628 : 364,037 = 364,037 : x
  2. Step 2: Convert to fraction form
    235,628/364,037 = 364,037/x
  3. Step 3: Cross multiply
    235,628x = 364,037 × 364,037
  4. Step 4: Simplify right side
    235,628x = 132,522,937,369
  5. Step 5: Solve for x
    x = 132,522,937,369/235,628
  6. Step 6: Final answer
    x = 562,424.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.