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Finding the Third Proportional to 250,534 and 549,332

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Solution

The third proportional to 250,534 and 549,332 is: 1,204,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,534 : 549,332 = 549,332 : x
  2. Step 2: Convert to fraction form
    250,534/549,332 = 549,332/x
  3. Step 3: Cross multiply
    250,534x = 549,332 × 549,332
  4. Step 4: Simplify right side
    250,534x = 301,765,646,224
  5. Step 5: Solve for x
    x = 301,765,646,224/250,534
  6. Step 6: Final answer
    x = 1,204,489.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.