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Finding the Third Proportional to 310,842 and 643,797

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Solution

The third proportional to 310,842 and 643,797 is: 1,333,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,842 : 643,797 = 643,797 : x
  2. Step 2: Convert to fraction form
    310,842/643,797 = 643,797/x
  3. Step 3: Cross multiply
    310,842x = 643,797 × 643,797
  4. Step 4: Simplify right side
    310,842x = 414,474,577,209
  5. Step 5: Solve for x
    x = 414,474,577,209/310,842
  6. Step 6: Final answer
    x = 1,333,393.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.