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Finding the Third Proportional to 297,141 and 460,299

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Solution

The third proportional to 297,141 and 460,299 is: 713,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,141 : 460,299 = 460,299 : x
  2. Step 2: Convert to fraction form
    297,141/460,299 = 460,299/x
  3. Step 3: Cross multiply
    297,141x = 460,299 × 460,299
  4. Step 4: Simplify right side
    297,141x = 211,875,169,401
  5. Step 5: Solve for x
    x = 211,875,169,401/297,141
  6. Step 6: Final answer
    x = 713,045.89

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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.