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Finding the Third Proportional to 254,490,624 and 391,656,456

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Solution

The third proportional to 254,490,624 and 391,656,456 is: 602,752,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,490,624 : 391,656,456 = 391,656,456 : x
  2. Step 2: Convert to fraction form
    254,490,624/391,656,456 = 391,656,456/x
  3. Step 3: Cross multiply
    254,490,624x = 391,656,456 × 391,656,456
  4. Step 4: Simplify right side
    254,490,624x = 153,394,779,526,479,936
  5. Step 5: Solve for x
    x = 153,394,779,526,479,936/254,490,624
  6. Step 6: Final answer
    x = 602,752,184.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.