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Finding the Third Proportional to 249,294 and 534,012

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Solution

The third proportional to 249,294 and 534,012 is: 1,143,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,294 : 534,012 = 534,012 : x
  2. Step 2: Convert to fraction form
    249,294/534,012 = 534,012/x
  3. Step 3: Cross multiply
    249,294x = 534,012 × 534,012
  4. Step 4: Simplify right side
    249,294x = 285,168,816,144
  5. Step 5: Solve for x
    x = 285,168,816,144/249,294
  6. Step 6: Final answer
    x = 1,143,905.65

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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.