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Finding the Third Proportional to 249,388 and 534,224

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Solution

The third proportional to 249,388 and 534,224 is: 1,144,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,388 : 534,224 = 534,224 : x
  2. Step 2: Convert to fraction form
    249,388/534,224 = 534,224/x
  3. Step 3: Cross multiply
    249,388x = 534,224 × 534,224
  4. Step 4: Simplify right side
    249,388x = 285,395,282,176
  5. Step 5: Solve for x
    x = 285,395,282,176/249,388
  6. Step 6: Final answer
    x = 1,144,382.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.