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Finding the Third Proportional to 353,945.81 and 560,719.13

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Solution

The third proportional to 353,945.81 and 560,719.13 is: 888,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,945.81 : 560,719.13 = 560,719.13 : x
  2. Step 2: Convert to fraction form
    353,945.81/560,719.13 = 560,719.13/x
  3. Step 3: Cross multiply
    353,945.81x = 560,719.13 × 560,719.13
  4. Step 4: Simplify right side
    353,945.81x = 314,405,937,140.77
  5. Step 5: Solve for x
    x = 314,405,937,140.77/353,945.81
  6. Step 6: Final answer
    x = 888,288.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.