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Finding the Third Proportional to 659,923.50 and 1,029,323.25

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Solution

The third proportional to 659,923.50 and 1,029,323.25 is: 1,605,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,923.50 : 1,029,323.25 = 1,029,323.25 : x
  2. Step 2: Convert to fraction form
    659,923.50/1,029,323.25 = 1,029,323.25/x
  3. Step 3: Cross multiply
    659,923.50x = 1,029,323.25 × 1,029,323.25
  4. Step 4: Simplify right side
    659,923.50x = 1,059,506,352,990.56
  5. Step 5: Solve for x
    x = 1,059,506,352,990.56/659,923.50
  6. Step 6: Final answer
    x = 1,605,498.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.