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Finding the Third Proportional to 306,937.50 and 669,628

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Solution

The third proportional to 306,937.50 and 669,628 is: 1,460,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,937.50 : 669,628 = 669,628 : x
  2. Step 2: Convert to fraction form
    306,937.50/669,628 = 669,628/x
  3. Step 3: Cross multiply
    306,937.50x = 669,628 × 669,628
  4. Step 4: Simplify right side
    306,937.50x = 448,401,658,384
  5. Step 5: Solve for x
    x = 448,401,658,384/306,937.50
  6. Step 6: Final answer
    x = 1,460,889.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.