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Finding the Third Proportional to 226,412.50 and 484,528

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Solution

The third proportional to 226,412.50 and 484,528 is: 1,036,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,412.50 : 484,528 = 484,528 : x
  2. Step 2: Convert to fraction form
    226,412.50/484,528 = 484,528/x
  3. Step 3: Cross multiply
    226,412.50x = 484,528 × 484,528
  4. Step 4: Simplify right side
    226,412.50x = 234,767,382,784
  5. Step 5: Solve for x
    x = 234,767,382,784/226,412.50
  6. Step 6: Final answer
    x = 1,036,901.16

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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.