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Finding the Third Proportional to 448,460 and 674,574

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Solution

The third proportional to 448,460 and 674,574 is: 1,014,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,460 : 674,574 = 674,574 : x
  2. Step 2: Convert to fraction form
    448,460/674,574 = 674,574/x
  3. Step 3: Cross multiply
    448,460x = 674,574 × 674,574
  4. Step 4: Simplify right side
    448,460x = 455,050,081,476
  5. Step 5: Solve for x
    x = 455,050,081,476/448,460
  6. Step 6: Final answer
    x = 1,014,694.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.