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Finding the Third Proportional to 368,558 and 788,352

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Solution

The third proportional to 368,558 and 788,352 is: 1,686,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,558 : 788,352 = 788,352 : x
  2. Step 2: Convert to fraction form
    368,558/788,352 = 788,352/x
  3. Step 3: Cross multiply
    368,558x = 788,352 × 788,352
  4. Step 4: Simplify right side
    368,558x = 621,498,875,904
  5. Step 5: Solve for x
    x = 621,498,875,904/368,558
  6. Step 6: Final answer
    x = 1,686,298.70

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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.