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Finding the Third Proportional to 280,074.75 and 430,495.13

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Solution

The third proportional to 280,074.75 and 430,495.13 is: 661,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,074.75 : 430,495.13 = 430,495.13 : x
  2. Step 2: Convert to fraction form
    280,074.75/430,495.13 = 430,495.13/x
  3. Step 3: Cross multiply
    280,074.75x = 430,495.13 × 430,495.13
  4. Step 4: Simplify right side
    280,074.75x = 185,326,052,648.77
  5. Step 5: Solve for x
    x = 185,326,052,648.77/280,074.75
  6. Step 6: Final answer
    x = 661,702.11

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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.