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Finding the Third Proportional to 455,593 and 707,267

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Solution

The third proportional to 455,593 and 707,267 is: 1,097,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,593 : 707,267 = 707,267 : x
  2. Step 2: Convert to fraction form
    455,593/707,267 = 707,267/x
  3. Step 3: Cross multiply
    455,593x = 707,267 × 707,267
  4. Step 4: Simplify right side
    455,593x = 500,226,609,289
  5. Step 5: Solve for x
    x = 500,226,609,289/455,593
  6. Step 6: Final answer
    x = 1,097,968.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.