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Finding the Third Proportional to 240,315,218 and 493,370,272

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Solution

The third proportional to 240,315,218 and 493,370,272 is: 1,012,895,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,218 : 493,370,272 = 493,370,272 : x
  2. Step 2: Convert to fraction form
    240,315,218/493,370,272 = 493,370,272/x
  3. Step 3: Cross multiply
    240,315,218x = 493,370,272 × 493,370,272
  4. Step 4: Simplify right side
    240,315,218x = 243,414,225,293,353,984
  5. Step 5: Solve for x
    x = 243,414,225,293,353,984/240,315,218
  6. Step 6: Final answer
    x = 1,012,895,593.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.