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Finding the Third Proportional to 244,407 and 376,096.50

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Solution

The third proportional to 244,407 and 376,096.50 is: 578,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,407 : 376,096.50 = 376,096.50 : x
  2. Step 2: Convert to fraction form
    244,407/376,096.50 = 376,096.50/x
  3. Step 3: Cross multiply
    244,407x = 376,096.50 × 376,096.50
  4. Step 4: Simplify right side
    244,407x = 141,448,577,312.25
  5. Step 5: Solve for x
    x = 141,448,577,312.25/244,407
  6. Step 6: Final answer
    x = 578,741.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.