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Finding the Third Proportional to 233,413 and 370,533

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Solution

The third proportional to 233,413 and 370,533 is: 588,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,413 : 370,533 = 370,533 : x
  2. Step 2: Convert to fraction form
    233,413/370,533 = 370,533/x
  3. Step 3: Cross multiply
    233,413x = 370,533 × 370,533
  4. Step 4: Simplify right side
    233,413x = 137,294,704,089
  5. Step 5: Solve for x
    x = 137,294,704,089/233,413
  6. Step 6: Final answer
    x = 588,205.04

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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.