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Finding the Third Proportional to 306,069 and 430,248

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Solution

The third proportional to 306,069 and 430,248 is: 604,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,069 : 430,248 = 430,248 : x
  2. Step 2: Convert to fraction form
    306,069/430,248 = 430,248/x
  3. Step 3: Cross multiply
    306,069x = 430,248 × 430,248
  4. Step 4: Simplify right side
    306,069x = 185,113,341,504
  5. Step 5: Solve for x
    x = 185,113,341,504/306,069
  6. Step 6: Final answer
    x = 604,809.18

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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.