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Finding the Third Proportional to 305,962.50 and 430,101

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Solution

The third proportional to 305,962.50 and 430,101 is: 604,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,962.50 : 430,101 = 430,101 : x
  2. Step 2: Convert to fraction form
    305,962.50/430,101 = 430,101/x
  3. Step 3: Cross multiply
    305,962.50x = 430,101 × 430,101
  4. Step 4: Simplify right side
    305,962.50x = 184,986,870,201
  5. Step 5: Solve for x
    x = 184,986,870,201/305,962.50
  6. Step 6: Final answer
    x = 604,606.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.