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Finding the Third Proportional to 348,675,526 and 758,639,480

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Solution

The third proportional to 348,675,526 and 758,639,480 is: 1,650,628,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,675,526 : 758,639,480 = 758,639,480 : x
  2. Step 2: Convert to fraction form
    348,675,526/758,639,480 = 758,639,480/x
  3. Step 3: Cross multiply
    348,675,526x = 758,639,480 × 758,639,480
  4. Step 4: Simplify right side
    348,675,526x = 575,533,860,614,670,400
  5. Step 5: Solve for x
    x = 575,533,860,614,670,400/348,675,526
  6. Step 6: Final answer
    x = 1,650,628,787.22

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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.