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Finding the Third Proportional to 322,484.50 and 706,335.50

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Solution

The third proportional to 322,484.50 and 706,335.50 is: 1,547,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,484.50 : 706,335.50 = 706,335.50 : x
  2. Step 2: Convert to fraction form
    322,484.50/706,335.50 = 706,335.50/x
  3. Step 3: Cross multiply
    322,484.50x = 706,335.50 × 706,335.50
  4. Step 4: Simplify right side
    322,484.50x = 498,909,838,560.25
  5. Step 5: Solve for x
    x = 498,909,838,560.25/322,484.50
  6. Step 6: Final answer
    x = 1,547,081.61

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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.