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Finding the Third Proportional to 356,628 and 777,228

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Solution

The third proportional to 356,628 and 777,228 is: 1,693,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,628 : 777,228 = 777,228 : x
  2. Step 2: Convert to fraction form
    356,628/777,228 = 777,228/x
  3. Step 3: Cross multiply
    356,628x = 777,228 × 777,228
  4. Step 4: Simplify right side
    356,628x = 604,083,363,984
  5. Step 5: Solve for x
    x = 604,083,363,984/356,628
  6. Step 6: Final answer
    x = 1,693,875.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.