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Finding the Third Proportional to 302,607 and 424,093.50

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Solution

The third proportional to 302,607 and 424,093.50 is: 594,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,607 : 424,093.50 = 424,093.50 : x
  2. Step 2: Convert to fraction form
    302,607/424,093.50 = 424,093.50/x
  3. Step 3: Cross multiply
    302,607x = 424,093.50 × 424,093.50
  4. Step 4: Simplify right side
    302,607x = 179,855,296,742.25
  5. Step 5: Solve for x
    x = 179,855,296,742.25/302,607
  6. Step 6: Final answer
    x = 594,352.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.