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Finding the Third Proportional to 410,341.50 and 613,869.75

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Solution

The third proportional to 410,341.50 and 613,869.75 is: 918,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,341.50 : 613,869.75 = 613,869.75 : x
  2. Step 2: Convert to fraction form
    410,341.50/613,869.75 = 613,869.75/x
  3. Step 3: Cross multiply
    410,341.50x = 613,869.75 × 613,869.75
  4. Step 4: Simplify right side
    410,341.50x = 376,836,069,965.06
  5. Step 5: Solve for x
    x = 376,836,069,965.06/410,341.50
  6. Step 6: Final answer
    x = 918,347.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.