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Finding the Third Proportional to 265,133.25 and 576,373.50

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Solution

The third proportional to 265,133.25 and 576,373.50 is: 1,252,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,133.25 : 576,373.50 = 576,373.50 : x
  2. Step 2: Convert to fraction form
    265,133.25/576,373.50 = 576,373.50/x
  3. Step 3: Cross multiply
    265,133.25x = 576,373.50 × 576,373.50
  4. Step 4: Simplify right side
    265,133.25x = 332,206,411,502.25
  5. Step 5: Solve for x
    x = 332,206,411,502.25/265,133.25
  6. Step 6: Final answer
    x = 1,252,979.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.