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Finding the Third Proportional to 249,334 and 540,940

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Solution

The third proportional to 249,334 and 540,940 is: 1,173,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,334 : 540,940 = 540,940 : x
  2. Step 2: Convert to fraction form
    249,334/540,940 = 540,940/x
  3. Step 3: Cross multiply
    249,334x = 540,940 × 540,940
  4. Step 4: Simplify right side
    249,334x = 292,616,083,600
  5. Step 5: Solve for x
    x = 292,616,083,600/249,334
  6. Step 6: Final answer
    x = 1,173,590.78

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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.