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Finding the Third Proportional to 349,056 and 724,032

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Solution

The third proportional to 349,056 and 724,032 is: 1,501,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,056 : 724,032 = 724,032 : x
  2. Step 2: Convert to fraction form
    349,056/724,032 = 724,032/x
  3. Step 3: Cross multiply
    349,056x = 724,032 × 724,032
  4. Step 4: Simplify right side
    349,056x = 524,222,337,024
  5. Step 5: Solve for x
    x = 524,222,337,024/349,056
  6. Step 6: Final answer
    x = 1,501,828.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.