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Finding the Third Proportional to 226,035 and 483,528

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Solution

The third proportional to 226,035 and 483,528 is: 1,034,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,035 : 483,528 = 483,528 : x
  2. Step 2: Convert to fraction form
    226,035/483,528 = 483,528/x
  3. Step 3: Cross multiply
    226,035x = 483,528 × 483,528
  4. Step 4: Simplify right side
    226,035x = 233,799,326,784
  5. Step 5: Solve for x
    x = 233,799,326,784/226,035
  6. Step 6: Final answer
    x = 1,034,350.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.