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Finding the Third Proportional to 326,362 and 506,400

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Solution

The third proportional to 326,362 and 506,400 is: 785,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,362 : 506,400 = 506,400 : x
  2. Step 2: Convert to fraction form
    326,362/506,400 = 506,400/x
  3. Step 3: Cross multiply
    326,362x = 506,400 × 506,400
  4. Step 4: Simplify right side
    326,362x = 256,440,960,000
  5. Step 5: Solve for x
    x = 256,440,960,000/326,362
  6. Step 6: Final answer
    x = 785,756.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.