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Finding the Third Proportional to 333,670.25 and 719,828.25

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Solution

The third proportional to 333,670.25 and 719,828.25 is: 1,552,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,670.25 : 719,828.25 = 719,828.25 : x
  2. Step 2: Convert to fraction form
    333,670.25/719,828.25 = 719,828.25/x
  3. Step 3: Cross multiply
    333,670.25x = 719,828.25 × 719,828.25
  4. Step 4: Simplify right side
    333,670.25x = 518,152,709,498.06
  5. Step 5: Solve for x
    x = 518,152,709,498.06/333,670.25
  6. Step 6: Final answer
    x = 1,552,888.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.