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Finding the Third Proportional to 333,675 and 719,835.75

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Solution

The third proportional to 333,675 and 719,835.75 is: 1,552,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,675 : 719,835.75 = 719,835.75 : x
  2. Step 2: Convert to fraction form
    333,675/719,835.75 = 719,835.75/x
  3. Step 3: Cross multiply
    333,675x = 719,835.75 × 719,835.75
  4. Step 4: Simplify right side
    333,675x = 518,163,506,978.06
  5. Step 5: Solve for x
    x = 518,163,506,978.06/333,675
  6. Step 6: Final answer
    x = 1,552,898.80

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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.