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Finding the Third Proportional to 289,145,999 and 440,498,537

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Solution

The third proportional to 289,145,999 and 440,498,537 is: 671,076,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,145,999 : 440,498,537 = 440,498,537 : x
  2. Step 2: Convert to fraction form
    289,145,999/440,498,537 = 440,498,537/x
  3. Step 3: Cross multiply
    289,145,999x = 440,498,537 × 440,498,537
  4. Step 4: Simplify right side
    289,145,999x = 194,038,961,099,140,384
  5. Step 5: Solve for x
    x = 194,038,961,099,140,384/289,145,999
  6. Step 6: Final answer
    x = 671,076,071.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.