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Finding the Third Proportional to 229,428 and 347,598

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Solution

The third proportional to 229,428 and 347,598 is: 526,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,428 : 347,598 = 347,598 : x
  2. Step 2: Convert to fraction form
    229,428/347,598 = 347,598/x
  3. Step 3: Cross multiply
    229,428x = 347,598 × 347,598
  4. Step 4: Simplify right side
    229,428x = 120,824,369,604
  5. Step 5: Solve for x
    x = 120,824,369,604/229,428
  6. Step 6: Final answer
    x = 526,633.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.