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Finding the Third Proportional to 336,415.50 and 514,471.50

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Solution

The third proportional to 336,415.50 and 514,471.50 is: 786,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,415.50 : 514,471.50 = 514,471.50 : x
  2. Step 2: Convert to fraction form
    336,415.50/514,471.50 = 514,471.50/x
  3. Step 3: Cross multiply
    336,415.50x = 514,471.50 × 514,471.50
  4. Step 4: Simplify right side
    336,415.50x = 264,680,924,312.25
  5. Step 5: Solve for x
    x = 264,680,924,312.25/336,415.50
  6. Step 6: Final answer
    x = 786,767.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.