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Finding the Third Proportional to 343,870 and 732,017

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Solution

The third proportional to 343,870 and 732,017 is: 1,558,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,870 : 732,017 = 732,017 : x
  2. Step 2: Convert to fraction form
    343,870/732,017 = 732,017/x
  3. Step 3: Cross multiply
    343,870x = 732,017 × 732,017
  4. Step 4: Simplify right side
    343,870x = 535,848,888,289
  5. Step 5: Solve for x
    x = 535,848,888,289/343,870
  6. Step 6: Final answer
    x = 1,558,289.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.