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Finding the Third Proportional to 510,985,566 and 765,628,263

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Solution

The third proportional to 510,985,566 and 765,628,263 is: 1,147,168,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,985,566 : 765,628,263 = 765,628,263 : x
  2. Step 2: Convert to fraction form
    510,985,566/765,628,263 = 765,628,263/x
  3. Step 3: Cross multiply
    510,985,566x = 765,628,263 × 765,628,263
  4. Step 4: Simplify right side
    510,985,566x = 586,186,637,104,397,184
  5. Step 5: Solve for x
    x = 586,186,637,104,397,184/510,985,566
  6. Step 6: Final answer
    x = 1,147,168,679.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.