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Finding the Third Proportional to 333,001.13 and 519,928.88

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Solution

The third proportional to 333,001.13 and 519,928.88 is: 811,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,001.13 : 519,928.88 = 519,928.88 : x
  2. Step 2: Convert to fraction form
    333,001.13/519,928.88 = 519,928.88/x
  3. Step 3: Cross multiply
    333,001.13x = 519,928.88 × 519,928.88
  4. Step 4: Simplify right side
    333,001.13x = 270,326,035,058.77
  5. Step 5: Solve for x
    x = 270,326,035,058.77/333,001.13
  6. Step 6: Final answer
    x = 811,787.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.