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Finding the Third Proportional to 517,050 and 772,446

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Solution

The third proportional to 517,050 and 772,446 is: 1,153,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,050 : 772,446 = 772,446 : x
  2. Step 2: Convert to fraction form
    517,050/772,446 = 772,446/x
  3. Step 3: Cross multiply
    517,050x = 772,446 × 772,446
  4. Step 4: Simplify right side
    517,050x = 596,672,822,916
  5. Step 5: Solve for x
    x = 596,672,822,916/517,050
  6. Step 6: Final answer
    x = 1,153,994.44

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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.