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Finding the Third Proportional to 238,970.25 and 521,417.25

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Solution

The third proportional to 238,970.25 and 521,417.25 is: 1,137,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,970.25 : 521,417.25 = 521,417.25 : x
  2. Step 2: Convert to fraction form
    238,970.25/521,417.25 = 521,417.25/x
  3. Step 3: Cross multiply
    238,970.25x = 521,417.25 × 521,417.25
  4. Step 4: Simplify right side
    238,970.25x = 271,875,948,597.56
  5. Step 5: Solve for x
    x = 271,875,948,597.56/238,970.25
  6. Step 6: Final answer
    x = 1,137,697.89

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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.