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Finding the Third Proportional to 341,135,808.19 and 524,026,328.34

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Solution

The third proportional to 341,135,808.19 and 524,026,328.34 is: 804,968,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,135,808.19 : 524,026,328.34 = 524,026,328.34 : x
  2. Step 2: Convert to fraction form
    341,135,808.19/524,026,328.34 = 524,026,328.34/x
  3. Step 3: Cross multiply
    341,135,808.19x = 524,026,328.34 × 524,026,328.34
  4. Step 4: Simplify right side
    341,135,808.19x = 274,603,592,797,431,680
  5. Step 5: Solve for x
    x = 274,603,592,797,431,680/341,135,808.19
  6. Step 6: Final answer
    x = 804,968,538.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.