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Finding the Third Proportional to 235,378.50 and 514,468.50

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Solution

The third proportional to 235,378.50 and 514,468.50 is: 1,124,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,378.50 : 514,468.50 = 514,468.50 : x
  2. Step 2: Convert to fraction form
    235,378.50/514,468.50 = 514,468.50/x
  3. Step 3: Cross multiply
    235,378.50x = 514,468.50 × 514,468.50
  4. Step 4: Simplify right side
    235,378.50x = 264,677,837,492.25
  5. Step 5: Solve for x
    x = 264,677,837,492.25/235,378.50
  6. Step 6: Final answer
    x = 1,124,477.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.