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Finding the Third Proportional to 340,958,356 and 735,136,712

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Solution

The third proportional to 340,958,356 and 735,136,712 is: 1,585,020,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,958,356 : 735,136,712 = 735,136,712 : x
  2. Step 2: Convert to fraction form
    340,958,356/735,136,712 = 735,136,712/x
  3. Step 3: Cross multiply
    340,958,356x = 735,136,712 × 735,136,712
  4. Step 4: Simplify right side
    340,958,356x = 540,425,985,330,170,944
  5. Step 5: Solve for x
    x = 540,425,985,330,170,944/340,958,356
  6. Step 6: Final answer
    x = 1,585,020,504.18

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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.