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Finding the Third Proportional to 349,150,176 and 547,712,280

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Solution

The third proportional to 349,150,176 and 547,712,280 is: 859,196,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,150,176 : 547,712,280 = 547,712,280 : x
  2. Step 2: Convert to fraction form
    349,150,176/547,712,280 = 547,712,280/x
  3. Step 3: Cross multiply
    349,150,176x = 547,712,280 × 547,712,280
  4. Step 4: Simplify right side
    349,150,176x = 299,988,741,662,798,400
  5. Step 5: Solve for x
    x = 299,988,741,662,798,400/349,150,176
  6. Step 6: Final answer
    x = 859,196,879.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.