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Finding the Third Proportional to 340,958,360 and 735,136,720

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Solution

The third proportional to 340,958,360 and 735,136,720 is: 1,585,020,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,958,360 : 735,136,720 = 735,136,720 : x
  2. Step 2: Convert to fraction form
    340,958,360/735,136,720 = 735,136,720/x
  3. Step 3: Cross multiply
    340,958,360x = 735,136,720 × 735,136,720
  4. Step 4: Simplify right side
    340,958,360x = 540,425,997,092,358,400
  5. Step 5: Solve for x
    x = 540,425,997,092,358,400/340,958,360
  6. Step 6: Final answer
    x = 1,585,020,520.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.