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Finding the Third Proportional to 358,593 and 772,511

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Solution

The third proportional to 358,593 and 772,511 is: 1,664,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,593 : 772,511 = 772,511 : x
  2. Step 2: Convert to fraction form
    358,593/772,511 = 772,511/x
  3. Step 3: Cross multiply
    358,593x = 772,511 × 772,511
  4. Step 4: Simplify right side
    358,593x = 596,773,245,121
  5. Step 5: Solve for x
    x = 596,773,245,121/358,593
  6. Step 6: Final answer
    x = 1,664,207.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.