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Finding the Third Proportional to 270,000 and 625,070.25

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Solution

The third proportional to 270,000 and 625,070.25 is: 1,447,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,000 : 625,070.25 = 625,070.25 : x
  2. Step 2: Convert to fraction form
    270,000/625,070.25 = 625,070.25/x
  3. Step 3: Cross multiply
    270,000x = 625,070.25 × 625,070.25
  4. Step 4: Simplify right side
    270,000x = 390,712,817,435.06
  5. Step 5: Solve for x
    x = 390,712,817,435.06/270,000
  6. Step 6: Final answer
    x = 1,447,084.51

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.