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Finding the Third Proportional to 460,923.94 and 723,053.53

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Solution

The third proportional to 460,923.94 and 723,053.53 is: 1,134,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,923.94 : 723,053.53 = 723,053.53 : x
  2. Step 2: Convert to fraction form
    460,923.94/723,053.53 = 723,053.53/x
  3. Step 3: Cross multiply
    460,923.94x = 723,053.53 × 723,053.53
  4. Step 4: Simplify right side
    460,923.94x = 522,806,409,053.10
  5. Step 5: Solve for x
    x = 522,806,409,053.10/460,923.94
  6. Step 6: Final answer
    x = 1,134,257.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.