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Finding the Third Proportional to 357,699 and 758,044

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Solution

The third proportional to 357,699 and 758,044 is: 1,606,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,699 : 758,044 = 758,044 : x
  2. Step 2: Convert to fraction form
    357,699/758,044 = 758,044/x
  3. Step 3: Cross multiply
    357,699x = 758,044 × 758,044
  4. Step 4: Simplify right side
    357,699x = 574,630,705,936
  5. Step 5: Solve for x
    x = 574,630,705,936/357,699
  6. Step 6: Final answer
    x = 1,606,464.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.