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Finding the Third Proportional to 357,258 and 751,284

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Solution

The third proportional to 357,258 and 751,284 is: 1,579,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,258 : 751,284 = 751,284 : x
  2. Step 2: Convert to fraction form
    357,258/751,284 = 751,284/x
  3. Step 3: Cross multiply
    357,258x = 751,284 × 751,284
  4. Step 4: Simplify right side
    357,258x = 564,427,648,656
  5. Step 5: Solve for x
    x = 564,427,648,656/357,258
  6. Step 6: Final answer
    x = 1,579,888.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.