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Finding the Third Proportional to 508,072.50 and 730,278.28

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Solution

The third proportional to 508,072.50 and 730,278.28 is: 1,049,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,072.50 : 730,278.28 = 730,278.28 : x
  2. Step 2: Convert to fraction form
    508,072.50/730,278.28 = 730,278.28/x
  3. Step 3: Cross multiply
    508,072.50x = 730,278.28 × 730,278.28
  4. Step 4: Simplify right side
    508,072.50x = 533,306,368,065.45
  5. Step 5: Solve for x
    x = 533,306,368,065.45/508,072.50
  6. Step 6: Final answer
    x = 1,049,665.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.