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Finding the Third Proportional to 430,008.75 and 601,435.13

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Solution

The third proportional to 430,008.75 and 601,435.13 is: 841,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,008.75 : 601,435.13 = 601,435.13 : x
  2. Step 2: Convert to fraction form
    430,008.75/601,435.13 = 601,435.13/x
  3. Step 3: Cross multiply
    430,008.75x = 601,435.13 × 601,435.13
  4. Step 4: Simplify right side
    430,008.75x = 361,724,209,583.77
  5. Step 5: Solve for x
    x = 361,724,209,583.77/430,008.75
  6. Step 6: Final answer
    x = 841,201.97

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Why These Related Problems?

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