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Finding the Third Proportional to 323,009 and 707,551

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Solution

The third proportional to 323,009 and 707,551 is: 1,549,890.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,009 : 707,551 = 707,551 : x
  2. Step 2: Convert to fraction form
    323,009/707,551 = 707,551/x
  3. Step 3: Cross multiply
    323,009x = 707,551 × 707,551
  4. Step 4: Simplify right side
    323,009x = 500,628,417,601
  5. Step 5: Solve for x
    x = 500,628,417,601/323,009
  6. Step 6: Final answer
    x = 1,549,890.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.