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Finding the Third Proportional to 357,435 and 555,754.50

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Solution

The third proportional to 357,435 and 555,754.50 is: 864,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,435 : 555,754.50 = 555,754.50 : x
  2. Step 2: Convert to fraction form
    357,435/555,754.50 = 555,754.50/x
  3. Step 3: Cross multiply
    357,435x = 555,754.50 × 555,754.50
  4. Step 4: Simplify right side
    357,435x = 308,863,064,270.25
  5. Step 5: Solve for x
    x = 308,863,064,270.25/357,435
  6. Step 6: Final answer
    x = 864,109.74

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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.