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Finding the Third Proportional to 341,993 and 742,397.50

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Solution

The third proportional to 341,993 and 742,397.50 is: 1,611,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,993 : 742,397.50 = 742,397.50 : x
  2. Step 2: Convert to fraction form
    341,993/742,397.50 = 742,397.50/x
  3. Step 3: Cross multiply
    341,993x = 742,397.50 × 742,397.50
  4. Step 4: Simplify right side
    341,993x = 551,154,048,006.25
  5. Step 5: Solve for x
    x = 551,154,048,006.25/341,993
  6. Step 6: Final answer
    x = 1,611,594.53

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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.