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Finding the Third Proportional to 249,219 and 540,504

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Solution

The third proportional to 249,219 and 540,504 is: 1,172,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,219 : 540,504 = 540,504 : x
  2. Step 2: Convert to fraction form
    249,219/540,504 = 540,504/x
  3. Step 3: Cross multiply
    249,219x = 540,504 × 540,504
  4. Step 4: Simplify right side
    249,219x = 292,144,574,016
  5. Step 5: Solve for x
    x = 292,144,574,016/249,219
  6. Step 6: Final answer
    x = 1,172,240.37

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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.