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Finding the Third Proportional to 239,330,362 and 524,061,567

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Solution

The third proportional to 239,330,362 and 524,061,567 is: 1,147,537,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,330,362 : 524,061,567 = 524,061,567 : x
  2. Step 2: Convert to fraction form
    239,330,362/524,061,567 = 524,061,567/x
  3. Step 3: Cross multiply
    239,330,362x = 524,061,567 × 524,061,567
  4. Step 4: Simplify right side
    239,330,362x = 274,640,526,006,495,488
  5. Step 5: Solve for x
    x = 274,640,526,006,495,488/239,330,362
  6. Step 6: Final answer
    x = 1,147,537,335.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.