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Finding the Third Proportional to 326,549.50 and 707,592.25

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Solution

The third proportional to 326,549.50 and 707,592.25 is: 1,533,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,549.50 : 707,592.25 = 707,592.25 : x
  2. Step 2: Convert to fraction form
    326,549.50/707,592.25 = 707,592.25/x
  3. Step 3: Cross multiply
    326,549.50x = 707,592.25 × 707,592.25
  4. Step 4: Simplify right side
    326,549.50x = 500,686,792,260.06
  5. Step 5: Solve for x
    x = 500,686,792,260.06/326,549.50
  6. Step 6: Final answer
    x = 1,533,264.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.