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Finding the Third Proportional to 249,346 and 534,414

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Solution

The third proportional to 249,346 and 534,414 is: 1,145,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,346 : 534,414 = 534,414 : x
  2. Step 2: Convert to fraction form
    249,346/534,414 = 534,414/x
  3. Step 3: Cross multiply
    249,346x = 534,414 × 534,414
  4. Step 4: Simplify right side
    249,346x = 285,598,323,396
  5. Step 5: Solve for x
    x = 285,598,323,396/249,346
  6. Step 6: Final answer
    x = 1,145,389.63

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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.