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Finding the Third Proportional to 249,488 and 544,120

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Solution

The third proportional to 249,488 and 544,120 is: 1,186,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,488 : 544,120 = 544,120 : x
  2. Step 2: Convert to fraction form
    249,488/544,120 = 544,120/x
  3. Step 3: Cross multiply
    249,488x = 544,120 × 544,120
  4. Step 4: Simplify right side
    249,488x = 296,066,574,400
  5. Step 5: Solve for x
    x = 296,066,574,400/249,488
  6. Step 6: Final answer
    x = 1,186,696.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.