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Finding the Third Proportional to 325,466,289 and 491,226,088.50

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Solution

The third proportional to 325,466,289 and 491,226,088.50 is: 741,407,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,289 : 491,226,088.50 = 491,226,088.50 : x
  2. Step 2: Convert to fraction form
    325,466,289/491,226,088.50 = 491,226,088.50/x
  3. Step 3: Cross multiply
    325,466,289x = 491,226,088.50 × 491,226,088.50
  4. Step 4: Simplify right side
    325,466,289x = 241,303,070,023,009,824
  5. Step 5: Solve for x
    x = 241,303,070,023,009,824/325,466,289
  6. Step 6: Final answer
    x = 741,407,261.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.