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Finding the Third Proportional to 302,957,402.34 and 460,544,603.34

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Solution

The third proportional to 302,957,402.34 and 460,544,603.34 is: 700,102,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,957,402.34 : 460,544,603.34 = 460,544,603.34 : x
  2. Step 2: Convert to fraction form
    302,957,402.34/460,544,603.34 = 460,544,603.34/x
  3. Step 3: Cross multiply
    302,957,402.34x = 460,544,603.34 × 460,544,603.34
  4. Step 4: Simplify right side
    302,957,402.34x = 212,101,331,669,052,032
  5. Step 5: Solve for x
    x = 212,101,331,669,052,032/302,957,402.34
  6. Step 6: Final answer
    x = 700,102,819.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.