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Finding the Third Proportional to 249,928 and 539,224

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Solution

The third proportional to 249,928 and 539,224 is: 1,163,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,928 : 539,224 = 539,224 : x
  2. Step 2: Convert to fraction form
    249,928/539,224 = 539,224/x
  3. Step 3: Cross multiply
    249,928x = 539,224 × 539,224
  4. Step 4: Simplify right side
    249,928x = 290,762,522,176
  5. Step 5: Solve for x
    x = 290,762,522,176/249,928
  6. Step 6: Final answer
    x = 1,163,385.14

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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.