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Finding the Third Proportional to 326,526 and 478,611

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Solution

The third proportional to 326,526 and 478,611 is: 701,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,526 : 478,611 = 478,611 : x
  2. Step 2: Convert to fraction form
    326,526/478,611 = 478,611/x
  3. Step 3: Cross multiply
    326,526x = 478,611 × 478,611
  4. Step 4: Simplify right side
    326,526x = 229,068,489,321
  5. Step 5: Solve for x
    x = 229,068,489,321/326,526
  6. Step 6: Final answer
    x = 701,532.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.