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Finding the Third Proportional to 370,435 and 573,956.50

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Solution

The third proportional to 370,435 and 573,956.50 is: 889,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,435 : 573,956.50 = 573,956.50 : x
  2. Step 2: Convert to fraction form
    370,435/573,956.50 = 573,956.50/x
  3. Step 3: Cross multiply
    370,435x = 573,956.50 × 573,956.50
  4. Step 4: Simplify right side
    370,435x = 329,426,063,892.25
  5. Step 5: Solve for x
    x = 329,426,063,892.25/370,435
  6. Step 6: Final answer
    x = 889,295.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.