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Finding the Third Proportional to 360,365.30 and 506,899.20

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Solution

The third proportional to 360,365.30 and 506,899.20 is: 713,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,365.30 : 506,899.20 = 506,899.20 : x
  2. Step 2: Convert to fraction form
    360,365.30/506,899.20 = 506,899.20/x
  3. Step 3: Cross multiply
    360,365.30x = 506,899.20 × 506,899.20
  4. Step 4: Simplify right side
    360,365.30x = 256,946,794,208.46
  5. Step 5: Solve for x
    x = 256,946,794,208.46/360,365.30
  6. Step 6: Final answer
    x = 713,017.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.