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Finding the Third Proportional to 349,495,718.25 and 542,658,732.75

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Solution

The third proportional to 349,495,718.25 and 542,658,732.75 is: 842,581,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,495,718.25 : 542,658,732.75 = 542,658,732.75 : x
  2. Step 2: Convert to fraction form
    349,495,718.25/542,658,732.75 = 542,658,732.75/x
  3. Step 3: Cross multiply
    349,495,718.25x = 542,658,732.75 × 542,658,732.75
  4. Step 4: Simplify right side
    349,495,718.25x = 294,478,500,229,835,904
  5. Step 5: Solve for x
    x = 294,478,500,229,835,904/349,495,718.25
  6. Step 6: Final answer
    x = 842,581,138.63

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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.