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Finding the Third Proportional to 349,495,704 and 542,658,705

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Solution

The third proportional to 349,495,704 and 542,658,705 is: 842,581,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,495,704 : 542,658,705 = 542,658,705 : x
  2. Step 2: Convert to fraction form
    349,495,704/542,658,705 = 542,658,705/x
  3. Step 3: Cross multiply
    349,495,704x = 542,658,705 × 542,658,705
  4. Step 4: Simplify right side
    349,495,704x = 294,478,470,112,277,056
  5. Step 5: Solve for x
    x = 294,478,470,112,277,056/349,495,704
  6. Step 6: Final answer
    x = 842,581,086.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.