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Finding the Third Proportional to 249,286 and 540,632

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Solution

The third proportional to 249,286 and 540,632 is: 1,172,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,286 : 540,632 = 540,632 : x
  2. Step 2: Convert to fraction form
    249,286/540,632 = 540,632/x
  3. Step 3: Cross multiply
    249,286x = 540,632 × 540,632
  4. Step 4: Simplify right side
    249,286x = 292,282,959,424
  5. Step 5: Solve for x
    x = 292,282,959,424/249,286
  6. Step 6: Final answer
    x = 1,172,480.44

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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.