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Finding the Third Proportional to 255,240,914 and 556,677,748

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Solution

The third proportional to 255,240,914 and 556,677,748 is: 1,214,108,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,240,914 : 556,677,748 = 556,677,748 : x
  2. Step 2: Convert to fraction form
    255,240,914/556,677,748 = 556,677,748/x
  3. Step 3: Cross multiply
    255,240,914x = 556,677,748 × 556,677,748
  4. Step 4: Simplify right side
    255,240,914x = 309,890,115,118,351,488
  5. Step 5: Solve for x
    x = 309,890,115,118,351,488/255,240,914
  6. Step 6: Final answer
    x = 1,214,108,311.48

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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.