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Finding the Third Proportional to 249,364 and 534,456

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Solution

The third proportional to 249,364 and 534,456 is: 1,145,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,364 : 534,456 = 534,456 : x
  2. Step 2: Convert to fraction form
    249,364/534,456 = 534,456/x
  3. Step 3: Cross multiply
    249,364x = 534,456 × 534,456
  4. Step 4: Simplify right side
    249,364x = 285,643,215,936
  5. Step 5: Solve for x
    x = 285,643,215,936/249,364
  6. Step 6: Final answer
    x = 1,145,486.98

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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.