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Finding the Third Proportional to 448,500 and 713,210

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Solution

The third proportional to 448,500 and 713,210 is: 1,134,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,500 : 713,210 = 713,210 : x
  2. Step 2: Convert to fraction form
    448,500/713,210 = 713,210/x
  3. Step 3: Cross multiply
    448,500x = 713,210 × 713,210
  4. Step 4: Simplify right side
    448,500x = 508,668,504,100
  5. Step 5: Solve for x
    x = 508,668,504,100/448,500
  6. Step 6: Final answer
    x = 1,134,154.97

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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.