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Finding the Third Proportional to 360,551.81 and 560,495.53

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Solution

The third proportional to 360,551.81 and 560,495.53 is: 871,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,551.81 : 560,495.53 = 560,495.53 : x
  2. Step 2: Convert to fraction form
    360,551.81/560,495.53 = 560,495.53/x
  3. Step 3: Cross multiply
    360,551.81x = 560,495.53 × 560,495.53
  4. Step 4: Simplify right side
    360,551.81x = 314,155,240,551.22
  5. Step 5: Solve for x
    x = 314,155,240,551.22/360,551.81
  6. Step 6: Final answer
    x = 871,317.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.