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Finding the Third Proportional to 325,453 and 708,740

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Solution

The third proportional to 325,453 and 708,740 is: 1,543,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,453 : 708,740 = 708,740 : x
  2. Step 2: Convert to fraction form
    325,453/708,740 = 708,740/x
  3. Step 3: Cross multiply
    325,453x = 708,740 × 708,740
  4. Step 4: Simplify right side
    325,453x = 502,312,387,600
  5. Step 5: Solve for x
    x = 502,312,387,600/325,453
  6. Step 6: Final answer
    x = 1,543,425.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.