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Finding the Third Proportional to 615,636 and 923,472

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Solution

The third proportional to 615,636 and 923,472 is: 1,385,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,636 : 923,472 = 923,472 : x
  2. Step 2: Convert to fraction form
    615,636/923,472 = 923,472/x
  3. Step 3: Cross multiply
    615,636x = 923,472 × 923,472
  4. Step 4: Simplify right side
    615,636x = 852,800,534,784
  5. Step 5: Solve for x
    x = 852,800,534,784/615,636
  6. Step 6: Final answer
    x = 1,385,235.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.