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Finding the Third Proportional to 347,280,530 and 723,140,776

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Solution

The third proportional to 347,280,530 and 723,140,776 is: 1,505,792,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,280,530 : 723,140,776 = 723,140,776 : x
  2. Step 2: Convert to fraction form
    347,280,530/723,140,776 = 723,140,776/x
  3. Step 3: Cross multiply
    347,280,530x = 723,140,776 × 723,140,776
  4. Step 4: Simplify right side
    347,280,530x = 522,932,581,913,882,176
  5. Step 5: Solve for x
    x = 522,932,581,913,882,176/347,280,530
  6. Step 6: Final answer
    x = 1,505,792,973.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.