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Finding the Third Proportional to 302,343.75 and 457,427.25

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Solution

The third proportional to 302,343.75 and 457,427.25 is: 692,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,343.75 : 457,427.25 = 457,427.25 : x
  2. Step 2: Convert to fraction form
    302,343.75/457,427.25 = 457,427.25/x
  3. Step 3: Cross multiply
    302,343.75x = 457,427.25 × 457,427.25
  4. Step 4: Simplify right side
    302,343.75x = 209,239,689,042.56
  5. Step 5: Solve for x
    x = 209,239,689,042.56/302,343.75
  6. Step 6: Final answer
    x = 692,058.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.