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Finding the Third Proportional to 249,876 and 562,464

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Solution

The third proportional to 249,876 and 562,464 is: 1,266,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,876 : 562,464 = 562,464 : x
  2. Step 2: Convert to fraction form
    249,876/562,464 = 562,464/x
  3. Step 3: Cross multiply
    249,876x = 562,464 × 562,464
  4. Step 4: Simplify right side
    249,876x = 316,365,751,296
  5. Step 5: Solve for x
    x = 316,365,751,296/249,876
  6. Step 6: Final answer
    x = 1,266,090.99

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.