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Finding the Third Proportional to 369,322.31 and 553,982.06

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Solution

The third proportional to 369,322.31 and 553,982.06 is: 830,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,322.31 : 553,982.06 = 553,982.06 : x
  2. Step 2: Convert to fraction form
    369,322.31/553,982.06 = 553,982.06/x
  3. Step 3: Cross multiply
    369,322.31x = 553,982.06 × 553,982.06
  4. Step 4: Simplify right side
    369,322.31x = 306,896,125,571.75
  5. Step 5: Solve for x
    x = 306,896,125,571.75/369,322.31
  6. Step 6: Final answer
    x = 830,970.98

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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.