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Finding the Third Proportional to 544,322 and 846,291

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Solution

The third proportional to 544,322 and 846,291 is: 1,315,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,322 : 846,291 = 846,291 : x
  2. Step 2: Convert to fraction form
    544,322/846,291 = 846,291/x
  3. Step 3: Cross multiply
    544,322x = 846,291 × 846,291
  4. Step 4: Simplify right side
    544,322x = 716,208,456,681
  5. Step 5: Solve for x
    x = 716,208,456,681/544,322
  6. Step 6: Final answer
    x = 1,315,780.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.