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Finding the Third Proportional to 354,768,360 and 758,565,369

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Solution

The third proportional to 354,768,360 and 758,565,369 is: 1,621,963,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,768,360 : 758,565,369 = 758,565,369 : x
  2. Step 2: Convert to fraction form
    354,768,360/758,565,369 = 758,565,369/x
  3. Step 3: Cross multiply
    354,768,360x = 758,565,369 × 758,565,369
  4. Step 4: Simplify right side
    354,768,360x = 575,421,419,046,106,176
  5. Step 5: Solve for x
    x = 575,421,419,046,106,176/354,768,360
  6. Step 6: Final answer
    x = 1,621,963,748.53

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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.