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Finding the Third Proportional to 517,446 and 772,973

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Solution

The third proportional to 517,446 and 772,973 is: 1,154,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,446 : 772,973 = 772,973 : x
  2. Step 2: Convert to fraction form
    517,446/772,973 = 772,973/x
  3. Step 3: Cross multiply
    517,446x = 772,973 × 772,973
  4. Step 4: Simplify right side
    517,446x = 597,487,258,729
  5. Step 5: Solve for x
    x = 597,487,258,729/517,446
  6. Step 6: Final answer
    x = 1,154,685.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.