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Finding the Third Proportional to 360,368.50 and 506,903.25

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Solution

The third proportional to 360,368.50 and 506,903.25 is: 713,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,368.50 : 506,903.25 = 506,903.25 : x
  2. Step 2: Convert to fraction form
    360,368.50/506,903.25 = 506,903.25/x
  3. Step 3: Cross multiply
    360,368.50x = 506,903.25 × 506,903.25
  4. Step 4: Simplify right side
    360,368.50x = 256,950,904,860.56
  5. Step 5: Solve for x
    x = 256,950,904,860.56/360,368.50
  6. Step 6: Final answer
    x = 713,022.66

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Why These Related Problems?

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