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Finding the Third Proportional to 249,256 and 529,670

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Solution

The third proportional to 249,256 and 529,670 is: 1,125,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,256 : 529,670 = 529,670 : x
  2. Step 2: Convert to fraction form
    249,256/529,670 = 529,670/x
  3. Step 3: Cross multiply
    249,256x = 529,670 × 529,670
  4. Step 4: Simplify right side
    249,256x = 280,550,308,900
  5. Step 5: Solve for x
    x = 280,550,308,900/249,256
  6. Step 6: Final answer
    x = 1,125,550.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.