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Finding the Third Proportional to 385,826.06 and 550,363.50

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Solution

The third proportional to 385,826.06 and 550,363.50 is: 785,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,826.06 : 550,363.50 = 550,363.50 : x
  2. Step 2: Convert to fraction form
    385,826.06/550,363.50 = 550,363.50/x
  3. Step 3: Cross multiply
    385,826.06x = 550,363.50 × 550,363.50
  4. Step 4: Simplify right side
    385,826.06x = 302,899,982,132.25
  5. Step 5: Solve for x
    x = 302,899,982,132.25/385,826.06
  6. Step 6: Final answer
    x = 785,068.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.