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Finding the Third Proportional to 345,511,232 and 529,814,964

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Solution

The third proportional to 345,511,232 and 529,814,964 is: 812,430,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,511,232 : 529,814,964 = 529,814,964 : x
  2. Step 2: Convert to fraction form
    345,511,232/529,814,964 = 529,814,964/x
  3. Step 3: Cross multiply
    345,511,232x = 529,814,964 × 529,814,964
  4. Step 4: Simplify right side
    345,511,232x = 280,703,896,078,321,280
  5. Step 5: Solve for x
    x = 280,703,896,078,321,280/345,511,232
  6. Step 6: Final answer
    x = 812,430,595.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.