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Finding the Third Proportional to 297,222 and 460,413

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Solution

The third proportional to 297,222 and 460,413 is: 713,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,222 : 460,413 = 460,413 : x
  2. Step 2: Convert to fraction form
    297,222/460,413 = 460,413/x
  3. Step 3: Cross multiply
    297,222x = 460,413 × 460,413
  4. Step 4: Simplify right side
    297,222x = 211,980,130,569
  5. Step 5: Solve for x
    x = 211,980,130,569/297,222
  6. Step 6: Final answer
    x = 713,204.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.