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Finding the Third Proportional to 249,653 and 534,298

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Solution

The third proportional to 249,653 and 534,298 is: 1,143,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,653 : 534,298 = 534,298 : x
  2. Step 2: Convert to fraction form
    249,653/534,298 = 534,298/x
  3. Step 3: Cross multiply
    249,653x = 534,298 × 534,298
  4. Step 4: Simplify right side
    249,653x = 285,474,352,804
  5. Step 5: Solve for x
    x = 285,474,352,804/249,653
  6. Step 6: Final answer
    x = 1,143,484.57

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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.