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Finding the Third Proportional to 306,859.50 and 656,361

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Solution

The third proportional to 306,859.50 and 656,361 is: 1,403,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,859.50 : 656,361 = 656,361 : x
  2. Step 2: Convert to fraction form
    306,859.50/656,361 = 656,361/x
  3. Step 3: Cross multiply
    306,859.50x = 656,361 × 656,361
  4. Step 4: Simplify right side
    306,859.50x = 430,809,762,321
  5. Step 5: Solve for x
    x = 430,809,762,321/306,859.50
  6. Step 6: Final answer
    x = 1,403,931.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.