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Finding the Third Proportional to 229,624 and 362,044

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Solution

The third proportional to 229,624 and 362,044 is: 570,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,624 : 362,044 = 362,044 : x
  2. Step 2: Convert to fraction form
    229,624/362,044 = 362,044/x
  3. Step 3: Cross multiply
    229,624x = 362,044 × 362,044
  4. Step 4: Simplify right side
    229,624x = 131,075,857,936
  5. Step 5: Solve for x
    x = 131,075,857,936/229,624
  6. Step 6: Final answer
    x = 570,828.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.