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Finding the Third Proportional to 336,643.50 and 719,943

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Solution

The third proportional to 336,643.50 and 719,943 is: 1,539,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,643.50 : 719,943 = 719,943 : x
  2. Step 2: Convert to fraction form
    336,643.50/719,943 = 719,943/x
  3. Step 3: Cross multiply
    336,643.50x = 719,943 × 719,943
  4. Step 4: Simplify right side
    336,643.50x = 518,317,923,249
  5. Step 5: Solve for x
    x = 518,317,923,249/336,643.50
  6. Step 6: Final answer
    x = 1,539,664.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.