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Finding the Third Proportional to 401,464 and 872,260

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Solution

The third proportional to 401,464 and 872,260 is: 1,895,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,464 : 872,260 = 872,260 : x
  2. Step 2: Convert to fraction form
    401,464/872,260 = 872,260/x
  3. Step 3: Cross multiply
    401,464x = 872,260 × 872,260
  4. Step 4: Simplify right side
    401,464x = 760,837,507,600
  5. Step 5: Solve for x
    x = 760,837,507,600/401,464
  6. Step 6: Final answer
    x = 1,895,157.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.