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Finding the Third Proportional to 448,508 and 713,222

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Solution

The third proportional to 448,508 and 713,222 is: 1,134,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,508 : 713,222 = 713,222 : x
  2. Step 2: Convert to fraction form
    448,508/713,222 = 713,222/x
  3. Step 3: Cross multiply
    448,508x = 713,222 × 713,222
  4. Step 4: Simplify right side
    448,508x = 508,685,621,284
  5. Step 5: Solve for x
    x = 508,685,621,284/448,508
  6. Step 6: Final answer
    x = 1,134,172.91

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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.