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Finding the Third Proportional to 382,250,130.75 and 590,274,078.75

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Solution

The third proportional to 382,250,130.75 and 590,274,078.75 is: 911,506,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,250,130.75 : 590,274,078.75 = 590,274,078.75 : x
  2. Step 2: Convert to fraction form
    382,250,130.75/590,274,078.75 = 590,274,078.75/x
  3. Step 3: Cross multiply
    382,250,130.75x = 590,274,078.75 × 590,274,078.75
  4. Step 4: Simplify right side
    382,250,130.75x = 348,423,488,044,161,216
  5. Step 5: Solve for x
    x = 348,423,488,044,161,216/382,250,130.75
  6. Step 6: Final answer
    x = 911,506,524.17

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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.