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Finding the Third Proportional to 326,315 and 459,526

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Solution

The third proportional to 326,315 and 459,526 is: 647,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,315 : 459,526 = 459,526 : x
  2. Step 2: Convert to fraction form
    326,315/459,526 = 459,526/x
  3. Step 3: Cross multiply
    326,315x = 459,526 × 459,526
  4. Step 4: Simplify right side
    326,315x = 211,164,144,676
  5. Step 5: Solve for x
    x = 211,164,144,676/326,315
  6. Step 6: Final answer
    x = 647,117.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.