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Finding the Third Proportional to 346,910 and 745,564

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Solution

The third proportional to 346,910 and 745,564 is: 1,602,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,910 : 745,564 = 745,564 : x
  2. Step 2: Convert to fraction form
    346,910/745,564 = 745,564/x
  3. Step 3: Cross multiply
    346,910x = 745,564 × 745,564
  4. Step 4: Simplify right side
    346,910x = 555,865,678,096
  5. Step 5: Solve for x
    x = 555,865,678,096/346,910
  6. Step 6: Final answer
    x = 1,602,333.97

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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.