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Finding the Third Proportional to 470,471.63 and 748,611

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Solution

The third proportional to 470,471.63 and 748,611 is: 1,191,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,471.63 : 748,611 = 748,611 : x
  2. Step 2: Convert to fraction form
    470,471.63/748,611 = 748,611/x
  3. Step 3: Cross multiply
    470,471.63x = 748,611 × 748,611
  4. Step 4: Simplify right side
    470,471.63x = 560,418,429,321
  5. Step 5: Solve for x
    x = 560,418,429,321/470,471.63
  6. Step 6: Final answer
    x = 1,191,184.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.