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Finding the Third Proportional to 302,580 and 658,387.50

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Solution

The third proportional to 302,580 and 658,387.50 is: 1,432,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,580 : 658,387.50 = 658,387.50 : x
  2. Step 2: Convert to fraction form
    302,580/658,387.50 = 658,387.50/x
  3. Step 3: Cross multiply
    302,580x = 658,387.50 × 658,387.50
  4. Step 4: Simplify right side
    302,580x = 433,474,100,156.25
  5. Step 5: Solve for x
    x = 433,474,100,156.25/302,580
  6. Step 6: Final answer
    x = 1,432,593.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.