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Finding the Third Proportional to 306,710 and 465,584

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Solution

The third proportional to 306,710 and 465,584 is: 706,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,710 : 465,584 = 465,584 : x
  2. Step 2: Convert to fraction form
    306,710/465,584 = 465,584/x
  3. Step 3: Cross multiply
    306,710x = 465,584 × 465,584
  4. Step 4: Simplify right side
    306,710x = 216,768,461,056
  5. Step 5: Solve for x
    x = 216,768,461,056/306,710
  6. Step 6: Final answer
    x = 706,753.81

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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.