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Finding the Third Proportional to 467,528 and 701,100

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Solution

The third proportional to 467,528 and 701,100 is: 1,051,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,528 : 701,100 = 701,100 : x
  2. Step 2: Convert to fraction form
    467,528/701,100 = 701,100/x
  3. Step 3: Cross multiply
    467,528x = 701,100 × 701,100
  4. Step 4: Simplify right side
    467,528x = 491,541,210,000
  5. Step 5: Solve for x
    x = 491,541,210,000/467,528
  6. Step 6: Final answer
    x = 1,051,362.08

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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.