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Finding the Third Proportional to 364,154,080 and 532,405,996

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Solution

The third proportional to 364,154,080 and 532,405,996 is: 778,396,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,154,080 : 532,405,996 = 532,405,996 : x
  2. Step 2: Convert to fraction form
    364,154,080/532,405,996 = 532,405,996/x
  3. Step 3: Cross multiply
    364,154,080x = 532,405,996 × 532,405,996
  4. Step 4: Simplify right side
    364,154,080x = 283,456,144,576,752,000
  5. Step 5: Solve for x
    x = 283,456,144,576,752,000/364,154,080
  6. Step 6: Final answer
    x = 778,396,179.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.