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Finding the Third Proportional to 368,088 and 788,666

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Solution

The third proportional to 368,088 and 788,666 is: 1,689,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,088 : 788,666 = 788,666 : x
  2. Step 2: Convert to fraction form
    368,088/788,666 = 788,666/x
  3. Step 3: Cross multiply
    368,088x = 788,666 × 788,666
  4. Step 4: Simplify right side
    368,088x = 621,994,059,556
  5. Step 5: Solve for x
    x = 621,994,059,556/368,088
  6. Step 6: Final answer
    x = 1,689,797.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.