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Finding the Third Proportional to 336,849 and 492,127.50

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Solution

The third proportional to 336,849 and 492,127.50 is: 718,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,849 : 492,127.50 = 492,127.50 : x
  2. Step 2: Convert to fraction form
    336,849/492,127.50 = 492,127.50/x
  3. Step 3: Cross multiply
    336,849x = 492,127.50 × 492,127.50
  4. Step 4: Simplify right side
    336,849x = 242,189,476,256.25
  5. Step 5: Solve for x
    x = 242,189,476,256.25/336,849
  6. Step 6: Final answer
    x = 718,985.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.