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Finding the Third Proportional to 333,870.75 and 517,749.75

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Solution

The third proportional to 333,870.75 and 517,749.75 is: 802,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,870.75 : 517,749.75 = 517,749.75 : x
  2. Step 2: Convert to fraction form
    333,870.75/517,749.75 = 517,749.75/x
  3. Step 3: Cross multiply
    333,870.75x = 517,749.75 × 517,749.75
  4. Step 4: Simplify right side
    333,870.75x = 268,064,803,625.06
  5. Step 5: Solve for x
    x = 268,064,803,625.06/333,870.75
  6. Step 6: Final answer
    x = 802,899.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.