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Finding the Third Proportional to 371,329 and 557,810

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Solution

The third proportional to 371,329 and 557,810 is: 837,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,329 : 557,810 = 557,810 : x
  2. Step 2: Convert to fraction form
    371,329/557,810 = 557,810/x
  3. Step 3: Cross multiply
    371,329x = 557,810 × 557,810
  4. Step 4: Simplify right side
    371,329x = 311,151,996,100
  5. Step 5: Solve for x
    x = 311,151,996,100/371,329
  6. Step 6: Final answer
    x = 837,941.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.