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Finding the Third Proportional to 583,174.69 and 912,831.19

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Solution

The third proportional to 583,174.69 and 912,831.19 is: 1,428,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,174.69 : 912,831.19 = 912,831.19 : x
  2. Step 2: Convert to fraction form
    583,174.69/912,831.19 = 912,831.19/x
  3. Step 3: Cross multiply
    583,174.69x = 912,831.19 × 912,831.19
  4. Step 4: Simplify right side
    583,174.69x = 833,260,776,872.66
  5. Step 5: Solve for x
    x = 833,260,776,872.66/583,174.69
  6. Step 6: Final answer
    x = 1,428,835.64

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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.