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Finding the Third Proportional to 346,400 and 760,842

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Solution

The third proportional to 346,400 and 760,842 is: 1,671,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,400 : 760,842 = 760,842 : x
  2. Step 2: Convert to fraction form
    346,400/760,842 = 760,842/x
  3. Step 3: Cross multiply
    346,400x = 760,842 × 760,842
  4. Step 4: Simplify right side
    346,400x = 578,880,548,964
  5. Step 5: Solve for x
    x = 578,880,548,964/346,400
  6. Step 6: Final answer
    x = 1,671,133.22

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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.