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Finding the Third Proportional to 282,426.75 and 593,952.75

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Solution

The third proportional to 282,426.75 and 593,952.75 is: 1,249,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,426.75 : 593,952.75 = 593,952.75 : x
  2. Step 2: Convert to fraction form
    282,426.75/593,952.75 = 593,952.75/x
  3. Step 3: Cross multiply
    282,426.75x = 593,952.75 × 593,952.75
  4. Step 4: Simplify right side
    282,426.75x = 352,779,869,232.56
  5. Step 5: Solve for x
    x = 352,779,869,232.56/282,426.75
  6. Step 6: Final answer
    x = 1,249,102.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.