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Finding the Third Proportional to 306,624 and 670,248

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Solution

The third proportional to 306,624 and 670,248 is: 1,465,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,624 : 670,248 = 670,248 : x
  2. Step 2: Convert to fraction form
    306,624/670,248 = 670,248/x
  3. Step 3: Cross multiply
    306,624x = 670,248 × 670,248
  4. Step 4: Simplify right side
    306,624x = 449,232,381,504
  5. Step 5: Solve for x
    x = 449,232,381,504/306,624
  6. Step 6: Final answer
    x = 1,465,092.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.