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Finding the Third Proportional to 368,556 and 788,348

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Solution

The third proportional to 368,556 and 788,348 is: 1,686,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,556 : 788,348 = 788,348 : x
  2. Step 2: Convert to fraction form
    368,556/788,348 = 788,348/x
  3. Step 3: Cross multiply
    368,556x = 788,348 × 788,348
  4. Step 4: Simplify right side
    368,556x = 621,492,569,104
  5. Step 5: Solve for x
    x = 621,492,569,104/368,556
  6. Step 6: Final answer
    x = 1,686,290.74

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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.