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Finding the Third Proportional to 331,526.25 and 506,803.50

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Solution

The third proportional to 331,526.25 and 506,803.50 is: 774,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,526.25 : 506,803.50 = 506,803.50 : x
  2. Step 2: Convert to fraction form
    331,526.25/506,803.50 = 506,803.50/x
  3. Step 3: Cross multiply
    331,526.25x = 506,803.50 × 506,803.50
  4. Step 4: Simplify right side
    331,526.25x = 256,849,787,612.25
  5. Step 5: Solve for x
    x = 256,849,787,612.25/331,526.25
  6. Step 6: Final answer
    x = 774,749.47

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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.