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Finding the Third Proportional to 341,793 and 748,021.50

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Solution

The third proportional to 341,793 and 748,021.50 is: 1,637,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,793 : 748,021.50 = 748,021.50 : x
  2. Step 2: Convert to fraction form
    341,793/748,021.50 = 748,021.50/x
  3. Step 3: Cross multiply
    341,793x = 748,021.50 × 748,021.50
  4. Step 4: Simplify right side
    341,793x = 559,536,164,462.25
  5. Step 5: Solve for x
    x = 559,536,164,462.25/341,793
  6. Step 6: Final answer
    x = 1,637,061.51

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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.