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Finding the Third Proportional to 545,663.81 and 734,064.19

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Solution

The third proportional to 545,663.81 and 734,064.19 is: 987,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,663.81 : 734,064.19 = 734,064.19 : x
  2. Step 2: Convert to fraction form
    545,663.81/734,064.19 = 734,064.19/x
  3. Step 3: Cross multiply
    545,663.81x = 734,064.19 × 734,064.19
  4. Step 4: Simplify right side
    545,663.81x = 538,850,231,370.04
  5. Step 5: Solve for x
    x = 538,850,231,370.04/545,663.81
  6. Step 6: Final answer
    x = 987,513.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.