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Finding the Third Proportional to 316,969.50 and 687,696

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Solution

The third proportional to 316,969.50 and 687,696 is: 1,492,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,969.50 : 687,696 = 687,696 : x
  2. Step 2: Convert to fraction form
    316,969.50/687,696 = 687,696/x
  3. Step 3: Cross multiply
    316,969.50x = 687,696 × 687,696
  4. Step 4: Simplify right side
    316,969.50x = 472,925,788,416
  5. Step 5: Solve for x
    x = 472,925,788,416/316,969.50
  6. Step 6: Final answer
    x = 1,492,023.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.