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Finding the Third Proportional to 245,570 and 534,866

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Solution

The third proportional to 245,570 and 534,866 is: 1,164,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,570 : 534,866 = 534,866 : x
  2. Step 2: Convert to fraction form
    245,570/534,866 = 534,866/x
  3. Step 3: Cross multiply
    245,570x = 534,866 × 534,866
  4. Step 4: Simplify right side
    245,570x = 286,081,637,956
  5. Step 5: Solve for x
    x = 286,081,637,956/245,570
  6. Step 6: Final answer
    x = 1,164,969.82

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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.