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Finding the Third Proportional to 464,824.50 and 718,258

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Solution

The third proportional to 464,824.50 and 718,258 is: 1,109,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,824.50 : 718,258 = 718,258 : x
  2. Step 2: Convert to fraction form
    464,824.50/718,258 = 718,258/x
  3. Step 3: Cross multiply
    464,824.50x = 718,258 × 718,258
  4. Step 4: Simplify right side
    464,824.50x = 515,894,554,564
  5. Step 5: Solve for x
    x = 515,894,554,564/464,824.50
  6. Step 6: Final answer
    x = 1,109,869.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.