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Finding the Third Proportional to 319,932 and 699,946.50

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Solution

The third proportional to 319,932 and 699,946.50 is: 1,531,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,932 : 699,946.50 = 699,946.50 : x
  2. Step 2: Convert to fraction form
    319,932/699,946.50 = 699,946.50/x
  3. Step 3: Cross multiply
    319,932x = 699,946.50 × 699,946.50
  4. Step 4: Simplify right side
    319,932x = 489,925,102,862.25
  5. Step 5: Solve for x
    x = 489,925,102,862.25/319,932
  6. Step 6: Final answer
    x = 1,531,341.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.