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Finding the Third Proportional to 322,273 and 708,986

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Solution

The third proportional to 322,273 and 708,986 is: 1,559,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,273 : 708,986 = 708,986 : x
  2. Step 2: Convert to fraction form
    322,273/708,986 = 708,986/x
  3. Step 3: Cross multiply
    322,273x = 708,986 × 708,986
  4. Step 4: Simplify right side
    322,273x = 502,661,148,196
  5. Step 5: Solve for x
    x = 502,661,148,196/322,273
  6. Step 6: Final answer
    x = 1,559,737.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.