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Finding the Third Proportional to 340,569.56 and 534,313.13

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Solution

The third proportional to 340,569.56 and 534,313.13 is: 838,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,569.56 : 534,313.13 = 534,313.13 : x
  2. Step 2: Convert to fraction form
    340,569.56/534,313.13 = 534,313.13/x
  3. Step 3: Cross multiply
    340,569.56x = 534,313.13 × 534,313.13
  4. Step 4: Simplify right side
    340,569.56x = 285,490,515,547.27
  5. Step 5: Solve for x
    x = 285,490,515,547.27/340,569.56
  6. Step 6: Final answer
    x = 838,273.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.