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Finding the Third Proportional to 302,020 and 423,290

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Solution

The third proportional to 302,020 and 423,290 is: 593,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,020 : 423,290 = 423,290 : x
  2. Step 2: Convert to fraction form
    302,020/423,290 = 423,290/x
  3. Step 3: Cross multiply
    302,020x = 423,290 × 423,290
  4. Step 4: Simplify right side
    302,020x = 179,174,424,100
  5. Step 5: Solve for x
    x = 179,174,424,100/302,020
  6. Step 6: Final answer
    x = 593,253.51

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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.