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Finding the Third Proportional to 382,735.50 and 841,506

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Solution

The third proportional to 382,735.50 and 841,506 is: 1,850,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,735.50 : 841,506 = 841,506 : x
  2. Step 2: Convert to fraction form
    382,735.50/841,506 = 841,506/x
  3. Step 3: Cross multiply
    382,735.50x = 841,506 × 841,506
  4. Step 4: Simplify right side
    382,735.50x = 708,132,348,036
  5. Step 5: Solve for x
    x = 708,132,348,036/382,735.50
  6. Step 6: Final answer
    x = 1,850,187.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.