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Finding the Third Proportional to 338,347,260 and 538,376,996.25

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Solution

The third proportional to 338,347,260 and 538,376,996.25 is: 856,663,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,347,260 : 538,376,996.25 = 538,376,996.25 : x
  2. Step 2: Convert to fraction form
    338,347,260/538,376,996.25 = 538,376,996.25/x
  3. Step 3: Cross multiply
    338,347,260x = 538,376,996.25 × 538,376,996.25
  4. Step 4: Simplify right side
    338,347,260x = 289,849,790,091,172,544
  5. Step 5: Solve for x
    x = 289,849,790,091,172,544/338,347,260
  6. Step 6: Final answer
    x = 856,663,624.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.