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Finding the Third Proportional to 724,349.25 and 1,153,018.13

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Solution

The third proportional to 724,349.25 and 1,153,018.13 is: 1,835,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,349.25 : 1,153,018.13 = 1,153,018.13 : x
  2. Step 2: Convert to fraction form
    724,349.25/1,153,018.13 = 1,153,018.13/x
  3. Step 3: Cross multiply
    724,349.25x = 1,153,018.13 × 1,153,018.13
  4. Step 4: Simplify right side
    724,349.25x = 1,329,450,796,578.52
  5. Step 5: Solve for x
    x = 1,329,450,796,578.52/724,349.25
  6. Step 6: Final answer
    x = 1,835,372.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.