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Finding the Third Proportional to 368,418 and 550,345.50

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Solution

The third proportional to 368,418 and 550,345.50 is: 822,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,418 : 550,345.50 = 550,345.50 : x
  2. Step 2: Convert to fraction form
    368,418/550,345.50 = 550,345.50/x
  3. Step 3: Cross multiply
    368,418x = 550,345.50 × 550,345.50
  4. Step 4: Simplify right side
    368,418x = 302,880,169,370.25
  5. Step 5: Solve for x
    x = 302,880,169,370.25/368,418
  6. Step 6: Final answer
    x = 822,110.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.