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Finding the Third Proportional to 367,281 and 767,772

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Solution

The third proportional to 367,281 and 767,772 is: 1,604,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,281 : 767,772 = 767,772 : x
  2. Step 2: Convert to fraction form
    367,281/767,772 = 767,772/x
  3. Step 3: Cross multiply
    367,281x = 767,772 × 767,772
  4. Step 4: Simplify right side
    367,281x = 589,473,843,984
  5. Step 5: Solve for x
    x = 589,473,843,984/367,281
  6. Step 6: Final answer
    x = 1,604,966.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.