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Finding the Third Proportional to 368,741 and 802,374.50

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Solution

The third proportional to 368,741 and 802,374.50 is: 1,745,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,741 : 802,374.50 = 802,374.50 : x
  2. Step 2: Convert to fraction form
    368,741/802,374.50 = 802,374.50/x
  3. Step 3: Cross multiply
    368,741x = 802,374.50 × 802,374.50
  4. Step 4: Simplify right side
    368,741x = 643,804,838,250.25
  5. Step 5: Solve for x
    x = 643,804,838,250.25/368,741
  6. Step 6: Final answer
    x = 1,745,954.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.