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Finding the Third Proportional to 346,399 and 760,837

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Solution

The third proportional to 346,399 and 760,837 is: 1,671,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,399 : 760,837 = 760,837 : x
  2. Step 2: Convert to fraction form
    346,399/760,837 = 760,837/x
  3. Step 3: Cross multiply
    346,399x = 760,837 × 760,837
  4. Step 4: Simplify right side
    346,399x = 578,872,940,569
  5. Step 5: Solve for x
    x = 578,872,940,569/346,399
  6. Step 6: Final answer
    x = 1,671,116.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.