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Finding the Third Proportional to 249,345 and 534,411

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Solution

The third proportional to 249,345 and 534,411 is: 1,145,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,345 : 534,411 = 534,411 : x
  2. Step 2: Convert to fraction form
    249,345/534,411 = 534,411/x
  3. Step 3: Cross multiply
    249,345x = 534,411 × 534,411
  4. Step 4: Simplify right side
    249,345x = 285,595,116,921
  5. Step 5: Solve for x
    x = 285,595,116,921/249,345
  6. Step 6: Final answer
    x = 1,145,381.37

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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.