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Finding the Third Proportional to 577,356 and 831,657

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Solution

The third proportional to 577,356 and 831,657 is: 1,197,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,356 : 831,657 = 831,657 : x
  2. Step 2: Convert to fraction form
    577,356/831,657 = 831,657/x
  3. Step 3: Cross multiply
    577,356x = 831,657 × 831,657
  4. Step 4: Simplify right side
    577,356x = 691,653,365,649
  5. Step 5: Solve for x
    x = 691,653,365,649/577,356
  6. Step 6: Final answer
    x = 1,197,966.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.