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Finding the Third Proportional to 342,346,176 and 728,962,695

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Solution

The third proportional to 342,346,176 and 728,962,695 is: 1,552,190,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,346,176 : 728,962,695 = 728,962,695 : x
  2. Step 2: Convert to fraction form
    342,346,176/728,962,695 = 728,962,695/x
  3. Step 3: Cross multiply
    342,346,176x = 728,962,695 × 728,962,695
  4. Step 4: Simplify right side
    342,346,176x = 531,386,610,701,663,040
  5. Step 5: Solve for x
    x = 531,386,610,701,663,040/342,346,176
  6. Step 6: Final answer
    x = 1,552,190,875.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.