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Finding the Third Proportional to 302,895 and 660,798

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Solution

The third proportional to 302,895 and 660,798 is: 1,441,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,895 : 660,798 = 660,798 : x
  2. Step 2: Convert to fraction form
    302,895/660,798 = 660,798/x
  3. Step 3: Cross multiply
    302,895x = 660,798 × 660,798
  4. Step 4: Simplify right side
    302,895x = 436,653,996,804
  5. Step 5: Solve for x
    x = 436,653,996,804/302,895
  6. Step 6: Final answer
    x = 1,441,601.86

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Why These Related Problems?

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