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Finding the Third Proportional to 354,768,362 and 758,565,373

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Solution

The third proportional to 354,768,362 and 758,565,373 is: 1,621,963,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,768,362 : 758,565,373 = 758,565,373 : x
  2. Step 2: Convert to fraction form
    354,768,362/758,565,373 = 758,565,373/x
  3. Step 3: Cross multiply
    354,768,362x = 758,565,373 × 758,565,373
  4. Step 4: Simplify right side
    354,768,362x = 575,421,425,114,629,120
  5. Step 5: Solve for x
    x = 575,421,425,114,629,120/354,768,362
  6. Step 6: Final answer
    x = 1,621,963,756.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.