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Finding the Third Proportional to 439,893 and 657,895

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Solution

The third proportional to 439,893 and 657,895 is: 983,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,893 : 657,895 = 657,895 : x
  2. Step 2: Convert to fraction form
    439,893/657,895 = 657,895/x
  3. Step 3: Cross multiply
    439,893x = 657,895 × 657,895
  4. Step 4: Simplify right side
    439,893x = 432,825,831,025
  5. Step 5: Solve for x
    x = 432,825,831,025/439,893
  6. Step 6: Final answer
    x = 983,934.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.