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Finding the Third Proportional to 264,435,556 and 575,697,032

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Solution

The third proportional to 264,435,556 and 575,697,032 is: 1,253,337,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,435,556 : 575,697,032 = 575,697,032 : x
  2. Step 2: Convert to fraction form
    264,435,556/575,697,032 = 575,697,032/x
  3. Step 3: Cross multiply
    264,435,556x = 575,697,032 × 575,697,032
  4. Step 4: Simplify right side
    264,435,556x = 331,427,072,653,609,024
  5. Step 5: Solve for x
    x = 331,427,072,653,609,024/264,435,556
  6. Step 6: Final answer
    x = 1,253,337,779.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.