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Finding the Third Proportional to 249,344 and 534,409

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Solution

The third proportional to 249,344 and 534,409 is: 1,145,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,344 : 534,409 = 534,409 : x
  2. Step 2: Convert to fraction form
    249,344/534,409 = 534,409/x
  3. Step 3: Cross multiply
    249,344x = 534,409 × 534,409
  4. Step 4: Simplify right side
    249,344x = 285,592,979,281
  5. Step 5: Solve for x
    x = 285,592,979,281/249,344
  6. Step 6: Final answer
    x = 1,145,377.39

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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.