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Finding the Third Proportional to 333,984 and 716,544

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Solution

The third proportional to 333,984 and 716,544 is: 1,537,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,984 : 716,544 = 716,544 : x
  2. Step 2: Convert to fraction form
    333,984/716,544 = 716,544/x
  3. Step 3: Cross multiply
    333,984x = 716,544 × 716,544
  4. Step 4: Simplify right side
    333,984x = 513,435,303,936
  5. Step 5: Solve for x
    x = 513,435,303,936/333,984
  6. Step 6: Final answer
    x = 1,537,305.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.