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Finding the Third Proportional to 306,710 and 465,583

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Solution

The third proportional to 306,710 and 465,583 is: 706,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,710 : 465,583 = 465,583 : x
  2. Step 2: Convert to fraction form
    306,710/465,583 = 465,583/x
  3. Step 3: Cross multiply
    306,710x = 465,583 × 465,583
  4. Step 4: Simplify right side
    306,710x = 216,767,529,889
  5. Step 5: Solve for x
    x = 216,767,529,889/306,710
  6. Step 6: Final answer
    x = 706,750.77

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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.