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Finding the Third Proportional to 457,831.13 and 673,510.50

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Solution

The third proportional to 457,831.13 and 673,510.50 is: 990,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,831.13 : 673,510.50 = 673,510.50 : x
  2. Step 2: Convert to fraction form
    457,831.13/673,510.50 = 673,510.50/x
  3. Step 3: Cross multiply
    457,831.13x = 673,510.50 × 673,510.50
  4. Step 4: Simplify right side
    457,831.13x = 453,616,393,610.25
  5. Step 5: Solve for x
    x = 453,616,393,610.25/457,831.13
  6. Step 6: Final answer
    x = 990,794.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.