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Finding the Third Proportional to 430,050.75 and 601,497.75

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Solution

The third proportional to 430,050.75 and 601,497.75 is: 841,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,050.75 : 601,497.75 = 601,497.75 : x
  2. Step 2: Convert to fraction form
    430,050.75/601,497.75 = 601,497.75/x
  3. Step 3: Cross multiply
    430,050.75x = 601,497.75 × 601,497.75
  4. Step 4: Simplify right side
    430,050.75x = 361,799,543,255.06
  5. Step 5: Solve for x
    x = 361,799,543,255.06/430,050.75
  6. Step 6: Final answer
    x = 841,294.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.