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Finding the Third Proportional to 366,895.50 and 506,965.50

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Solution

The third proportional to 366,895.50 and 506,965.50 is: 700,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,895.50 : 506,965.50 = 506,965.50 : x
  2. Step 2: Convert to fraction form
    366,895.50/506,965.50 = 506,965.50/x
  3. Step 3: Cross multiply
    366,895.50x = 506,965.50 × 506,965.50
  4. Step 4: Simplify right side
    366,895.50x = 257,014,018,190.25
  5. Step 5: Solve for x
    x = 257,014,018,190.25/366,895.50
  6. Step 6: Final answer
    x = 700,510.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.