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Finding the Third Proportional to 333,210.38 and 476,155.13

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Solution

The third proportional to 333,210.38 and 476,155.13 is: 680,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,210.38 : 476,155.13 = 476,155.13 : x
  2. Step 2: Convert to fraction form
    333,210.38/476,155.13 = 476,155.13/x
  3. Step 3: Cross multiply
    333,210.38x = 476,155.13 × 476,155.13
  4. Step 4: Simplify right side
    333,210.38x = 226,723,703,063.77
  5. Step 5: Solve for x
    x = 226,723,703,063.77/333,210.38
  6. Step 6: Final answer
    x = 680,422.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.