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Finding the Third Proportional to 307,598 and 432,969

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Solution

The third proportional to 307,598 and 432,969 is: 609,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,598 : 432,969 = 432,969 : x
  2. Step 2: Convert to fraction form
    307,598/432,969 = 432,969/x
  3. Step 3: Cross multiply
    307,598x = 432,969 × 432,969
  4. Step 4: Simplify right side
    307,598x = 187,462,154,961
  5. Step 5: Solve for x
    x = 187,462,154,961/307,598
  6. Step 6: Final answer
    x = 609,438.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.