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Finding the Third Proportional to 371,735 and 590,815.50

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Solution

The third proportional to 371,735 and 590,815.50 is: 939,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,735 : 590,815.50 = 590,815.50 : x
  2. Step 2: Convert to fraction form
    371,735/590,815.50 = 590,815.50/x
  3. Step 3: Cross multiply
    371,735x = 590,815.50 × 590,815.50
  4. Step 4: Simplify right side
    371,735x = 349,062,955,040.25
  5. Step 5: Solve for x
    x = 349,062,955,040.25/371,735
  6. Step 6: Final answer
    x = 939,010.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.