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Finding the Third Proportional to 368,363.50 and 805,207.50

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Solution

The third proportional to 368,363.50 and 805,207.50 is: 1,760,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,363.50 : 805,207.50 = 805,207.50 : x
  2. Step 2: Convert to fraction form
    368,363.50/805,207.50 = 805,207.50/x
  3. Step 3: Cross multiply
    368,363.50x = 805,207.50 × 805,207.50
  4. Step 4: Simplify right side
    368,363.50x = 648,359,118,056.25
  5. Step 5: Solve for x
    x = 648,359,118,056.25/368,363.50
  6. Step 6: Final answer
    x = 1,760,106.85

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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.