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Finding the Third Proportional to 326,000.25 and 498,686.63

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Solution

The third proportional to 326,000.25 and 498,686.63 is: 762,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,000.25 : 498,686.63 = 498,686.63 : x
  2. Step 2: Convert to fraction form
    326,000.25/498,686.63 = 498,686.63/x
  3. Step 3: Cross multiply
    326,000.25x = 498,686.63 × 498,686.63
  4. Step 4: Simplify right side
    326,000.25x = 248,688,349,953.89
  5. Step 5: Solve for x
    x = 248,688,349,953.89/326,000.25
  6. Step 6: Final answer
    x = 762,847.11

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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.