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Finding the Third Proportional to 330,148 and 723,396

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Solution

The third proportional to 330,148 and 723,396 is: 1,585,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,148 : 723,396 = 723,396 : x
  2. Step 2: Convert to fraction form
    330,148/723,396 = 723,396/x
  3. Step 3: Cross multiply
    330,148x = 723,396 × 723,396
  4. Step 4: Simplify right side
    330,148x = 523,301,772,816
  5. Step 5: Solve for x
    x = 523,301,772,816/330,148
  6. Step 6: Final answer
    x = 1,585,052.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.