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Finding the Third Proportional to 285,275.25 and 602,385

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Solution

The third proportional to 285,275.25 and 602,385 is: 1,271,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,275.25 : 602,385 = 602,385 : x
  2. Step 2: Convert to fraction form
    285,275.25/602,385 = 602,385/x
  3. Step 3: Cross multiply
    285,275.25x = 602,385 × 602,385
  4. Step 4: Simplify right side
    285,275.25x = 362,867,688,225
  5. Step 5: Solve for x
    x = 362,867,688,225/285,275.25
  6. Step 6: Final answer
    x = 1,271,991.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.