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Finding the Third Proportional to 333,155.25 and 512,476.88

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Solution

The third proportional to 333,155.25 and 512,476.88 is: 788,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,155.25 : 512,476.88 = 512,476.88 : x
  2. Step 2: Convert to fraction form
    333,155.25/512,476.88 = 512,476.88/x
  3. Step 3: Cross multiply
    333,155.25x = 512,476.88 × 512,476.88
  4. Step 4: Simplify right side
    333,155.25x = 262,632,547,409.77
  5. Step 5: Solve for x
    x = 262,632,547,409.77/333,155.25
  6. Step 6: Final answer
    x = 788,318.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.