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Finding the Third Proportional to 517,394 and 772,914

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Solution

The third proportional to 517,394 and 772,914 is: 1,154,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,394 : 772,914 = 772,914 : x
  2. Step 2: Convert to fraction form
    517,394/772,914 = 772,914/x
  3. Step 3: Cross multiply
    517,394x = 772,914 × 772,914
  4. Step 4: Simplify right side
    517,394x = 597,396,051,396
  5. Step 5: Solve for x
    x = 597,396,051,396/517,394
  6. Step 6: Final answer
    x = 1,154,625.01

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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.