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Finding the Third Proportional to 430,057 and 601,504

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Solution

The third proportional to 430,057 and 601,504 is: 841,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,057 : 601,504 = 601,504 : x
  2. Step 2: Convert to fraction form
    430,057/601,504 = 601,504/x
  3. Step 3: Cross multiply
    430,057x = 601,504 × 601,504
  4. Step 4: Simplify right side
    430,057x = 361,807,062,016
  5. Step 5: Solve for x
    x = 361,807,062,016/430,057
  6. Step 6: Final answer
    x = 841,300.25

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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.