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Finding the Third Proportional to 239,304 and 370,495

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Solution

The third proportional to 239,304 and 370,495 is: 573,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,304 : 370,495 = 370,495 : x
  2. Step 2: Convert to fraction form
    239,304/370,495 = 370,495/x
  3. Step 3: Cross multiply
    239,304x = 370,495 × 370,495
  4. Step 4: Simplify right side
    239,304x = 137,266,545,025
  5. Step 5: Solve for x
    x = 137,266,545,025/239,304
  6. Step 6: Final answer
    x = 573,607.40

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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.