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Finding the Third Proportional to 319,369.50 and 700,947

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Solution

The third proportional to 319,369.50 and 700,947 is: 1,538,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,369.50 : 700,947 = 700,947 : x
  2. Step 2: Convert to fraction form
    319,369.50/700,947 = 700,947/x
  3. Step 3: Cross multiply
    319,369.50x = 700,947 × 700,947
  4. Step 4: Simplify right side
    319,369.50x = 491,326,696,809
  5. Step 5: Solve for x
    x = 491,326,696,809/319,369.50
  6. Step 6: Final answer
    x = 1,538,427.11

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Why These Related Problems?

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