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Finding the Third Proportional to 310,754.25 and 652,853.81

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Solution

The third proportional to 310,754.25 and 652,853.81 is: 1,371,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,754.25 : 652,853.81 = 652,853.81 : x
  2. Step 2: Convert to fraction form
    310,754.25/652,853.81 = 652,853.81/x
  3. Step 3: Cross multiply
    310,754.25x = 652,853.81 × 652,853.81
  4. Step 4: Simplify right side
    310,754.25x = 426,218,100,495.79
  5. Step 5: Solve for x
    x = 426,218,100,495.79/310,754.25
  6. Step 6: Final answer
    x = 1,371,560.00

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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.