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Finding the Third Proportional to 235,624 and 364,030

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Solution

The third proportional to 235,624 and 364,030 is: 562,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,624 : 364,030 = 364,030 : x
  2. Step 2: Convert to fraction form
    235,624/364,030 = 364,030/x
  3. Step 3: Cross multiply
    235,624x = 364,030 × 364,030
  4. Step 4: Simplify right side
    235,624x = 132,517,840,900
  5. Step 5: Solve for x
    x = 132,517,840,900/235,624
  6. Step 6: Final answer
    x = 562,412.32

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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.