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Finding the Third Proportional to 348,904,710 and 761,184,252

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Solution

The third proportional to 348,904,710 and 761,184,252 is: 1,660,629,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,904,710 : 761,184,252 = 761,184,252 : x
  2. Step 2: Convert to fraction form
    348,904,710/761,184,252 = 761,184,252/x
  3. Step 3: Cross multiply
    348,904,710x = 761,184,252 × 761,184,252
  4. Step 4: Simplify right side
    348,904,710x = 579,401,465,492,799,488
  5. Step 5: Solve for x
    x = 579,401,465,492,799,488/348,904,710
  6. Step 6: Final answer
    x = 1,660,629,532.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.