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Finding the Third Proportional to 286,970.34 and 625,611.09

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Solution

The third proportional to 286,970.34 and 625,611.09 is: 1,363,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,970.34 : 625,611.09 = 625,611.09 : x
  2. Step 2: Convert to fraction form
    286,970.34/625,611.09 = 625,611.09/x
  3. Step 3: Cross multiply
    286,970.34x = 625,611.09 × 625,611.09
  4. Step 4: Simplify right side
    286,970.34x = 391,389,240,623.07
  5. Step 5: Solve for x
    x = 391,389,240,623.07/286,970.34
  6. Step 6: Final answer
    x = 1,363,866.51

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