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Finding the Third Proportional to 249,484 and 533,960

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Solution

The third proportional to 249,484 and 533,960 is: 1,142,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,484 : 533,960 = 533,960 : x
  2. Step 2: Convert to fraction form
    249,484/533,960 = 533,960/x
  3. Step 3: Cross multiply
    249,484x = 533,960 × 533,960
  4. Step 4: Simplify right side
    249,484x = 285,113,281,600
  5. Step 5: Solve for x
    x = 285,113,281,600/249,484
  6. Step 6: Final answer
    x = 1,142,811.89

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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.