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Finding the Third Proportional to 517,374 and 772,875

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Solution

The third proportional to 517,374 and 772,875 is: 1,154,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,374 : 772,875 = 772,875 : x
  2. Step 2: Convert to fraction form
    517,374/772,875 = 772,875/x
  3. Step 3: Cross multiply
    517,374x = 772,875 × 772,875
  4. Step 4: Simplify right side
    517,374x = 597,335,765,625
  5. Step 5: Solve for x
    x = 597,335,765,625/517,374
  6. Step 6: Final answer
    x = 1,154,553.12

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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.