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Finding the Third Proportional to 332,970.75 and 719,145.21

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Solution

The third proportional to 332,970.75 and 719,145.21 is: 1,553,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,970.75 : 719,145.21 = 719,145.21 : x
  2. Step 2: Convert to fraction form
    332,970.75/719,145.21 = 719,145.21/x
  3. Step 3: Cross multiply
    332,970.75x = 719,145.21 × 719,145.21
  4. Step 4: Simplify right side
    332,970.75x = 517,169,834,414.34
  5. Step 5: Solve for x
    x = 517,169,834,414.34/332,970.75
  6. Step 6: Final answer
    x = 1,553,199.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.