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Finding the Third Proportional to 249,324 and 534,369

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Solution

The third proportional to 249,324 and 534,369 is: 1,145,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,324 : 534,369 = 534,369 : x
  2. Step 2: Convert to fraction form
    249,324/534,369 = 534,369/x
  3. Step 3: Cross multiply
    249,324x = 534,369 × 534,369
  4. Step 4: Simplify right side
    249,324x = 285,550,228,161
  5. Step 5: Solve for x
    x = 285,550,228,161/249,324
  6. Step 6: Final answer
    x = 1,145,297.80

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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.