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Finding the Third Proportional to 346,805 and 745,342

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Solution

The third proportional to 346,805 and 745,342 is: 1,601,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,805 : 745,342 = 745,342 : x
  2. Step 2: Convert to fraction form
    346,805/745,342 = 745,342/x
  3. Step 3: Cross multiply
    346,805x = 745,342 × 745,342
  4. Step 4: Simplify right side
    346,805x = 555,534,696,964
  5. Step 5: Solve for x
    x = 555,534,696,964/346,805
  6. Step 6: Final answer
    x = 1,601,864.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.