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Finding the Third Proportional to 249,943 and 539,252

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Solution

The third proportional to 249,943 and 539,252 is: 1,163,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,943 : 539,252 = 539,252 : x
  2. Step 2: Convert to fraction form
    249,943/539,252 = 539,252/x
  3. Step 3: Cross multiply
    249,943x = 539,252 × 539,252
  4. Step 4: Simplify right side
    249,943x = 290,792,719,504
  5. Step 5: Solve for x
    x = 290,792,719,504/249,943
  6. Step 6: Final answer
    x = 1,163,436.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.