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Finding the Third Proportional to 597,618 and 885,735

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Solution

The third proportional to 597,618 and 885,735 is: 1,312,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,618 : 885,735 = 885,735 : x
  2. Step 2: Convert to fraction form
    597,618/885,735 = 885,735/x
  3. Step 3: Cross multiply
    597,618x = 885,735 × 885,735
  4. Step 4: Simplify right side
    597,618x = 784,526,490,225
  5. Step 5: Solve for x
    x = 784,526,490,225/597,618
  6. Step 6: Final answer
    x = 1,312,755.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.