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Finding the Third Proportional to 479,525 and 716,006

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Solution

The third proportional to 479,525 and 716,006 is: 1,069,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,525 : 716,006 = 716,006 : x
  2. Step 2: Convert to fraction form
    479,525/716,006 = 716,006/x
  3. Step 3: Cross multiply
    479,525x = 716,006 × 716,006
  4. Step 4: Simplify right side
    479,525x = 512,664,592,036
  5. Step 5: Solve for x
    x = 512,664,592,036/479,525
  6. Step 6: Final answer
    x = 1,069,109.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.