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Finding the Third Proportional to 302,593.50 and 651,870

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Solution

The third proportional to 302,593.50 and 651,870 is: 1,404,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,593.50 : 651,870 = 651,870 : x
  2. Step 2: Convert to fraction form
    302,593.50/651,870 = 651,870/x
  3. Step 3: Cross multiply
    302,593.50x = 651,870 × 651,870
  4. Step 4: Simplify right side
    302,593.50x = 424,934,496,900
  5. Step 5: Solve for x
    x = 424,934,496,900/302,593.50
  6. Step 6: Final answer
    x = 1,404,308.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.