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Finding the Third Proportional to 306,654 and 465,516

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Solution

The third proportional to 306,654 and 465,516 is: 706,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,654 : 465,516 = 465,516 : x
  2. Step 2: Convert to fraction form
    306,654/465,516 = 465,516/x
  3. Step 3: Cross multiply
    306,654x = 465,516 × 465,516
  4. Step 4: Simplify right side
    306,654x = 216,705,146,256
  5. Step 5: Solve for x
    x = 216,705,146,256/306,654
  6. Step 6: Final answer
    x = 706,676.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.