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Finding the Third Proportional to 427,840 and 657,677

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Solution

The third proportional to 427,840 and 657,677 is: 1,010,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,840 : 657,677 = 657,677 : x
  2. Step 2: Convert to fraction form
    427,840/657,677 = 657,677/x
  3. Step 3: Cross multiply
    427,840x = 657,677 × 657,677
  4. Step 4: Simplify right side
    427,840x = 432,539,036,329
  5. Step 5: Solve for x
    x = 432,539,036,329/427,840
  6. Step 6: Final answer
    x = 1,010,983.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.